Fermilab Fermilab Core Computing Division

Library Home |  Ask a Librarian library@fnal.gov |  Book Catalog |  Library Journals |  Requests |  SPIRES |  Fermilab Documents |

Fermilab Library
SPIRES-BOOKS: FIND KEYWORD LIE GROUPS *END*INIT* use /tmp/qspiwww.webspi1/10908.131 QRY 131.225.70.96 . find keyword lie groups ( in books using www Cover
Image
Call number:9783319297347:ONLINE Show nearby items on shelf
Title:Geometrodynamics of Gauge Fields On the Geometry of Yang-Mills and Gravitational Gauge Theories
Author(s): Eckehard W Mielke
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 373 p. 18 illus., 8 illus. in color p.)
Contents:Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang’s theory of gravity -- 8 BRST
quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color
Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups
ISBN:9783319297347
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mathematical physics , Gravitation , Elementary particles (Physics) , Quantum field theory , Physics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Physics , Elementary Particles, Quantum Field Theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783658106331:ONLINE Show nearby items on shelf
Title:Manifolds, Sheaves, and Cohomology
Author(s): Torsten Wedhorn
Date:2016
Size:1 online resource (354 p.)
Note:10.1007/978-3-658-10633-1
Contents:Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohom ology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis
ISBN:9783658106331
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential geometry , Mathematics , Category Theory, Homological Algebra , Topological Groups, Lie Groups , Differential Geometry , Global Analysis and Analysis on Manifolds
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319397801:ONLINE Show nearby items on shelf
Title:Extensions of Positive Definite Functions Applications and Their Harmonic Analysis
Author(s): Palle Jorgensen
Date:2016
Size:1 online resource (9 p.)
Note:10.1007/978-3-319-39780-1
ISBN:9783319397801
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2160
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Fourier analysis , Functional analysis , Probabilities , Mathematical physics , Mathematics , Abstract Harmonic Analysis , Topological Groups, Lie Groups , Fourier Analysis , Functional Analysis , Mathematical Physics , Probability Theory and Stochastic Processes
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319392868:ONLINE Show nearby items on shelf
Title:Operator Algebras and Applications The Abel Symposium 2015
Author(s):
Date:2016
Size:1 online resource (2 p.)
Note:10.1007/978-3-319-39286-8
Contents:C*-tensor categories and subfactors for totally disconnected groups: Y. Arano and S. Vaes -- Decomposable approximations revisited: N.P. Brown, J.R. Carrión and S. White -- Exotic crossed products: A. Buss, S. Echterhoff, and R. Willett -- On Hong and Szymanski’s description of the primitive-ideal space of a graph algebra: T. M. Carlsen and A. Sims -- Commutator inequalities via Schur products: E. Christensen -- C*-algebras associated with algebraic actions: J. Cuntz -- A new look at C*-simplicit y and the unique trace property of a group: U. Haagerup -- Equilibrium states on graph algebras: A. an Huef and I. Raeburn -- Semigroup C_-algebras: X. Li -- Topological full groups of étale groupoids: H. Matui -- Towards a classification of compact quan tum groups of Lie type: S. Neshveyev and M. Yamashita -- A homology theory for Smale spaces: a summary: I.F. Putnam -- On the positive eigenvalues and eigenvectors of a non-negative matrix: K. Thomsen -- Classification of graph algebras: a
selective survey: M. Tomforde -- QDQ vs. UCT: W. Winter
ISBN:9783319392868
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Abel Symposia: 12
Keywords: Mathematics , K-theory , Dynamics , Ergodic theory , Functional analysis , Mathematical physics , Mathematics , Functional Analysis , Dynamical Systems and Ergodic Theory , K-Theory , Mathematical Physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319313382:ONLINE Show nearby items on shelf
Title:Essays in Mathematics and its Applications In Honor of Vladimir Arnold
Author(s):
Date:2016
Size:1 online resource (22 p.)
Note:10.1007/978-3-319-31338-2
Contents:A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender) -- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti) -- Manifolds which are complex and symplectic bu t not Kahler (G. Bazzoni, V. Munoz) -- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja) -- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wi ggins) -- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler) -- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu) -- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth) -- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak) -- On the fixed points of a Hamiltonian diffeomorphism in presence of
fundamental group (K. Ono, A. Pajitnov) -- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas) -- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias) -- The Maslov Ind ex in PDEs Geometry (A. Prastaro) -- On the infimum of certain functionals (B. Ricceri) -- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran) -- Mild continuity properties of relations and relators in rela tor spaces (A. Szaz, A. Zakaria) -- Contraction Maps in Pseudometric Structures (M. Turinici) -- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar)
ISBN:9783319313382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Algebraic topology , Complex manifolds , Mathematics , Dynamical Systems and Ergodic Theory , Algebraic Topology , Manifolds and Cell Complexes (incl. Diff.Topology) , Global Analysis and Analysis on Manifolds
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319304519:ONLINE Show nearby items on shelf
Title:Symmetries in Graphs, Maps, and Polytopes 5th SIGMAP Workshop, West Malvern, UK, July 2014
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (332 p.)
Note:10.1007/978-3-319-30451-9
ISBN:9783319304519
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 159
Keywords: Mathematics , Algebra , Field theory (Physics) , Topological groups , Lie groups , Graph theory , Mathematics , Graph Theory , Field Theory and Polynomials , Topological Groups, Lie Groups
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319295589:ONLINE Show nearby items on shelf
Title:Quantization on Nilpotent Lie Groups
Author(s): Veronique Fischer
Date:2016
Edition:1st ed. 2016
Size:1 online resource (557 p.)
Note:10.1007/978-3-319-29558-9
Contents:Preface -- Introduction -- Notation and conventions -- 1 Preliminaries on Lie groups -- 2 Quantization on compact Lie groups -- 3 Homogeneous Lie groups -- 4 Rockland operators and Sobolev spaces -- 5 Quantization on graded Lie groups -- 6 Pseudo-d ifferential operators on the Heisenberg group -- A Miscellaneous -- B Group C* and von Neumann algebras -- Schrödinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index
ISBN:9783319295589
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 314
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Functional analysis , Mathematical physics , Mathematics , Topological Groups, Lie Groups , Abstract Harmonic Analysis , Functional Analysis , Mathematical Physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319270760:ONLINE Show nearby items on shelf
Title:Surfaces in Classical Geometries A Treatment by Moving Frames
Author(s): Gary R Jensen
Date:2016
Size:1 online resource (61 p.)
Note:10.1007/978-3-319-27076-0
Contents:1. Introduction -- 2. Lie Groups -- 3. Theory of Moving Frames -- 4. Euclidean Geometry -- 5. Spherical Geometry -- 6. Hyperbolic Geometry -- 7. Complex Structure -- 8. Minimal Immersions in Euclidean Space -- 9. Isothermic Immersions -- 10. The Bo nnet Problem -- 11. CMC 1 Surfaces in H3 -- 12. Möbius Geometry -- 13. Complex Structure and Möbius Geometry -- 14. Isothermic Immersions in Möbius Space -- 15. Lie Sphere Geometry -- Solutions to Select Problems -- References -- Index
ISBN:9783319270760
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Differential Geometry , Convex and Discrete Geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9788132218142:ONLINE Show nearby items on shelf
Title:Groups of Exceptional Type, Coxeter Groups and Related Geometries [electronic resource]
Author(s): N.S. Narasimha Sastry
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the themeof the book. Some of th e articles provide the latest developments in the subject some provide an overview of the current status of some important problems in this area some survey an area highlighting the current developments andsome provide an exposition of an area to collect problems and conjectures. It is hoped that these articles would be helpful to a beginner to start independent research on any of these topics, as well as to an expert to know some of thelatest developments or to consider some problems for investigation
Contents:Chapter 1. A classification of Curtis
Tits amalgams
Chapter 2. The use of valuations for classifying point
line geometries
Chapter 3. An outline of polar spaces: basics and advances
Chapter 4. Embeddings of Line
grassmannians of Polar Spaces in Grassmann Varieties
Chapter 5. Generation of Lie Incidence Geometries: A Survey
Chapter 6. Witt
Type Theorems for Subspaces of Lie Geometries: A Survey
Chapter 7. Embeddings of cotriangular spaces
Chapter 8. Unipotent Overgroups in Simple Algebraic Groups
Chapter 9. The axes of a Majorana representation of A12
Chapter 10. GIT
ISBN:9788132218142
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v82
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Group theory , Geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9788132215998:ONLINE Show nearby items on shelf
Title:Basic Modern Algebra with Applications [electronic resource]
Author(s): Mahima Ranjan Adhikari
Avishek Adhikari
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a waythat it encourages ind ependent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. Inaddition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theoryto structure theory of rings and homological algebra. Algebraic as pects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraictopology, category theory, algebraic geometry, algebraic number theory, cryptography and theo retical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, withthe help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, example s, exercises and historical notes represents a valuable and unique resource
Contents:Prerequisites: Basics of Set Theory and Integers
Groups: Introductory Concepts
Actions of Groups, Topological Groups and semigroups
Rings: Introductory Concepts
Ideals of Rings: Introductory concepts
Factorization in Integral Domains and in Polynomial Rings
Rings with Chain Conditions
Vector Spaces
Modules
Algebraic Aspects of Number Theory
Algebraic Numbers
Introduction to Mathematical Cryptography
Appendix A: Some Aspects of Semirings
Appendix B: Category Theory
Appendix C: A Brief Historical Note
ISBN:9788132215998
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Number theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9784431548287:ONLINE Show nearby items on shelf
Title:Introduction to Supergravity [electronic resource]
Author(s): Yoshiaki Tanii
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:This book is a pedagogical introduction to supergravity, a gravitational field theory that includes supersymmetry (symmetry between bosons and fermions) and is a generalization of Einstein's general relativity. Supergravityprovides a low-energy effec tive theory of superstring theory, which has attracted much attention as a candidate for the unified theory of fundamental particles, and it is a useful tool for studying non-perturbative properties ofsuperstring theory such as D-branes and string duality . This work considers classical supergravities in four and higher spacetime dimensions with their applications to superstring theory in mind. More concretely, it discusses classicalLagrangians (or field equations) and symmetry properties of supergravities . Besides local symmetries, supergravities often have global non-compact symmetries, which play a crucial role in their applications to superstring theory. Oneof the main features of this book is its detailed discussion of these non-compact symmetries. Th e aim of the book is twofold. One is to explain the basic ideas of supergravity to those who are not familiar with it. Toward that end, thediscussions are made both pedagogical and concrete by stating equations explicitly. The other is to collect relevant formulae in one place so as to be useful for applications to string theory. The subjects discussed in this bookinclude the vielbein formulation of gravity, supergravities in four dimensions, possible types of spinors in various dimensions, superalgebras and supermultiplets, non-linear sigma models for non-compact Lie groups, electric-magneticduality symmetries, supergravities in higher dimensions, dimensional reductions, and gauged and massive supergravities
ISBN:9784431548287
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematical Physics, 2197-1757 : v1
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783642553615:ONLINE Show nearby items on shelf
Title:Algebra, Geometry and Mathematical Physics [electronic resource] : AGMP, Mulhouse, France, October 2011
Author(s): Abdenacer Makhlouf
Eugen Paal
Sergei D Silvestrov
Alexander Stolin
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetriesand conservation laws and mathematical physics and applications, the book covers deformation theory and quantization Hom-algebras and n-ary algebraic structures Hopf algebra, integrable systems and related math structures jet theoryand Weil bundles Lie theory and applications non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures ofLie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry andapplications in physics and beyond. The book benefits a broad audience of researchers a nd advanced students
Contents:Part I Algebra
Part II Geometry
Part III Dynamical Symmetries and Conservation Laws
Part IV Mathematical Physics and Applications
ISBN:9783642553615
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v85
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783642310317:ONLINE Show nearby items on shelf
Title:Vladimir I. Arnold - Collected Works [electronic resource] : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
Author(s): Vladimir I Arnold
Alexander B Givental
Boris A Khesin
Alexander N Varchenko
Victor A Vassiliev
Oleg Ya Viro
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. Thissecond volume of his Coll ected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry
Contents:1 Variational principle for three
dimensional steady
state flows of an ideal fluid
2 On the Riemann curvature of diffeomorphism groups
3 Sur la topologie des coulements stationnaires des fluides parfaits (in French)
4 Conditions for non
linear stability of stationary plane curvilinear flows of an ideal fluid
5 On the topology of three
dimensional steady flows of an ideal fluid
6 On an a priori estimate in the theory of hydrodynamical stability
7 On the differential geometry of infinite
dimensional Lie groups and its application to the hydrodynamics of perfect fluids
8 On
ISBN:9783642310317
Series:eBooks
Series:SpringerLink
Series:Vladimir I. Arnold - Collected Works : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783319078427:ONLINE Show nearby items on shelf
Title:Probability on Compact Lie Groups [electronic resource]
Author(s): David Applebaum
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Probability theory on compact Lie groups deals with the interaction between chance and symmetry, a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applicationsin statistics and engineering (par ticularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topicspresented are: the study of measures via the non-commutative F ourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures, and the statistical problem of deconvolution. Theemphasis on compact (rather than general) Lie groups helps readers to get acquaint ed with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance ofthese groups for applications. The book is primarily aimed at researchers working in probability, stochast ic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists,statisticians and engineers who are working on related applications. A background in first year graduate level measure theoreti c probability and functional analysis is essential a background in Lie groups and representation theory iscertainly helpful but the first two chapters also offer orientation in these subjects
Contents:Introduction
1.Lie Groups
2.Representations, Peter
Weyl Theory and Weights
3.Analysis on Compact Lie Groups
4.Probability Measures on Compact Lie Groups
5.Convolution Semigroups of Measures
6.Deconvolution Density Estimation
Appendices
Index
Bibliography
ISBN:9783319078427
Series:eBooks
Series:SpringerLink
Series:Probability Theory and Stochastic Modelling, 2199-3130 : v70
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Harmonic analysis , Fourier analysis , Functional analysis , Distribution (Probability theory)
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783319046754:ONLINE Show nearby items on shelf
Title:Geometry and its Applications [electronic resource]
Author(s): Vladimir Rovenski
Pawe Walczak
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, andosculation the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems. This Work isbased on the second international workshop entitled Geom etry and Symbolic Computations, held on May 15-18, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and itsapplications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern state-of-the-art in geometricmodeling using symbolic programs such as Maple and Mathematica, as well as presentation of new results.
Contents:Part I: Geometry
The Ricci flow on some generalized Wallach spaces (N.A. Abiev, A. Arvanitoyeorgos, Y.G. Nikonorov, P. Siasos)
Gaussian mean curvature flow for submanifolds in space forms (A. Borisenko, V. Rovenski)
Cantor laminationsand exceptional minimal sets in codimension one foliations(G. Hector)
Integral formulas in foliations theory (K. Andrzejewski, P. Walczak, V. Rovenski)
On prescribing the mixed scalar curvature of a foliations (V. Rovenski, L. Zelenko)
The partial Ricci flow for foliations (V. Rovenski)
Osculation in general (P. Walczak)
On stability of
ISBN:9783319046754
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v72
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9781493909384:ONLINE Show nearby items on shelf
Title:Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics [electronic resource]
Author(s): Mahir Can
Zhenheng Li
Benjamin Steinberg
Qiang Wang
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: v structure andrepresentation theory of reducti ve algebraic monoids v monoid schemes and applications of monoids v monoids related to Lie theory v equivariant embeddings of algebraic groups v constructions and properties of monoids fromalgebraic combinatorics v endomorphism monoids induced from vector bundles v HodgeNewton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics,while the remaining contributions are research articles containing previously unpublished result s, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and LexRenner showing that the algebraic semigroups are strongly -regular. Graduate students as well as researchers working in the fields of algebraic (semi)group theory, algebraic combinatorics, and the theory of algebraic groupembeddings will benefit from this unique and broad compilation of some fundamental results in (semi)group theory, algebraic group embeddings, and alge braic combinatorics merged under the umbrella of algebraic monoids
Contents:On Algebraic Semi groups and Monoids (M. Brion)
Algebraic Semi groups are Strongly
regular (M. Brion, L. E. Renner)
Rees Theorem and Quotients in Linear Algebraic Semi groups (M. S. Putcha)
Representations of Reductive Normal Algebraic Monoids (S. Doty)
On Linear Hodge Newton Decomposition for Reductive Monoids (S. Varma)
The Structure of Affine Algebraic Monoids in Terms of Kernel Data (W. Huang)
Algebraic Monoids and Renner Monoids (Z. Li, Z. Li, Y. Cao)
Conjugacy Decomposition of Canonical and Dual Canonical Monoids (R. K. Therkelsen)
The Endomorphisms Monoid of a
ISBN:9781493909384
Series:eBooks
Series:SpringerLink
Series:Fields Institute Communications, 1069-5265 : v71
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Group theory , Topological Groups , Combinatorics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9781461485353:ONLINE Show nearby items on shelf
Title:Coherent States, Wavelets, and Their Generalizations [electronic resource]
Author(s): Syed Twareque Ali
Jean-Pierre Antoine
Jean-Pierre Gazeau
Date:2014
Edition:2nd ed. 2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) andvarious generalizations o f wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherentstates, wavelets, and some of their generaliz ations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take aclassical-like view of quantum states in physics. Starting from the standar d theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are squareintegrable over a homogeneous space a further step allows one to dispense with the group context altog ether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensionalwavelets arise from coherent states of other groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups,Gazeau-Klauder coherent states,coherent states forthe relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potentialapplications, from the quantum physicallyoriented,likethe quantum-classical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing. Intended as an introduction to current research forgraduate students and others entering the field, the mathematical discussion is self-contained. With its extensive references to the research liter
Contents:Canonical Coherent States
Positive Operator
Valued Measures and Frames
Some Group Theory
Hilbert Spaces
Square Integrable and Holomorphic Kernels
Covariant Coherent States
Coherent States from Square Integrable Representations
Some Examples and Generalizations
CS of General Semidirect Product Groups
CS of Product Groups
CS Quantizations and Probabilistic Aspects
Direct Wavelet Transforms
Multidimensional Wavelets
Wavelets Related to Other G Groups
The Discretization Problem
Frames Sampling and All That
ISBN:9781461485353
Series:eBooks
Series:SpringerLink
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Group theory , Quantum theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9789400753457:ONLINE Show nearby items on shelf
Title:Differential Geometry and Mathematical Physics [electronic resource] : Part I. Manifolds, Lie Groups and Hamiltonian Systems
Author(s): Gerd Rudolph
Matthias Schmidt
Date:2013
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Starting from an undergraduate level, this book systematically develops the basics of Calculus on manifolds, vector bundles, vector fields and differential forms, Lie groups and Lie group actions, Linear symplecticalgebra and symplectic geometry, Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. Thesecond and third items constitute the link between abstr act calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class andcaustics. The book guides the reader from elementary differential geometry to advan ced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematicaltextbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact
Note:Springer eBooks
Contents:1 Differentiable manifolds
2 Vector bundles
3 Vector fields
4 Differential forms
5 Lie groups
6 Lie group actions
7 Linear symplectic algebra
8 Symplectic geometry
9 Hamiltonian systems
10 Symmetries
11 Integrability
12 Hamilton
Jacobi theory
References
ISBN:9789400753457
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Topological Groups , Global analysis , Global differential geometry , Mathematical physics , Mechanics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9784431542704:ONLINE Show nearby items on shelf
Title:Lie Theory and Its Applications in Physics [electronic resource] : IX International Workshop
Author(s): Vladimir Dobrev
Date:2013
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to asystem yields in general so me notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantumgroups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples ofthese new trends are presented in this volume, based on contributions fr om the Workshop Lie Theory and Its Applications in Physics held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience ofmathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theo ry
Note:Springer eBooks
ISBN:9784431542704
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v36
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783642362163:ONLINE Show nearby items on shelf
Title:Clifford Algebras and Lie Theory [electronic resource]
Author(s): Eckhard Meinrenken
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results onsymmetric bilinear form s and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartans famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes apresentation of Petraccis proof of the PoincarBirk hoffWitt theorem. This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator. The applications to Lietheory include Duflos theorem for the case of quadratic Lie algebras, multiplets of rep resentations, and Dirac induction. The last part of the book is an account of Kostants structure theory of the Clifford algebra over asemisimple Lie algebra. It describes his Clifford algebra analogue of the HopfKoszulSamelson theorem, and explains his fa scinating conjecture relating the Harish-Chandra projection for Clifford algebras to the principalsl(2) subalgebra. Aside from these beautiful applications, the book will serve as a convenient and up-to-date reference for background material from Cliffor d theory, relevant for students and researchers in mathematics andphysics
Note:Springer eBooks
Contents:Preface
Conventions
List of Symbols
1 Symmetric bilinear forms
2 Clifford algebras
3 The spin representation
4 Covariant and contravariant spinors
5 Enveloping algebras
6 Weil algebras
7 Quantum Weil algebras
8 Applications to reductive Lie algebras
9 D(g k) as a geometric Dirac operator
10 The HopfKoszulSamelson Theorem
11 The Clifford algebra of a reductive Lie algebra
A Graded and filtered super spaces
B Reductive Lie algebras
C Background on Lie groups
References
Index
ISBN:9783642362163
Series:e-books
Series:SpringerLink (Online service)
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v58
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783642321993:ONLINE Show nearby items on shelf
Title:Noncommutative Iwasawa Main Conjectures over Totally Real Fields [electronic resource] : Mnster, April 2011
Author(s): John Coates
Peter Schneider
R Sujatha
Otmar Venjakob
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.Non-commutative Iwas awa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative main conjecture for the Tate motive over a totally real p-adic Lie extension of a number field,independently by Ritter and Weiss on the one ha nd, and Kakde on the other. The initial ideas for giving a precise formulation of the non-commutative main conjecture were discovered by Venjakob, and were then systematically developedin the subsequent papers by Coates-Fukaya-Kato-Sujatha-Venjakob and Fu kaya-Kato. There was also parallel related work in this direction by Burns and Flach on the equivariant Tamagawa number conjecture. Subsequently, Kato discovered animportant idea for studying the K_1 groups of non-abelian Iwasawa algebras in terms of the K_1 groups of the abelian quotients of these Iwasawa algebras. Kakde's proof is a beautiful development of these ideas of Kato, combined with anidea of Burns, and essentially reduces the study of the non-abelian main conjectures to abelian ones. The appro ach of Ritter and Weiss is more classical, and partly inspired by techniques of Frohlich and Taylor. Since many of the ideasin this book should eventually be applicable to other motives, one of its major aims is to provide a self-contained exposition of s ome of the main general themes underlying these developments. The present volume will be a valuableresource for researchers working in both Iwasawa theory and the theory of automorphic forms.
Note:Springer eBooks
Contents:Preface
John Coates, Dohyeong Kim: Introduction to the work of M. Kakde on the non
commutative main conjectures for totally real fields
R. Sujatha: Reductions of the main conjecture
Ted Chinburg, Georgios Pappas, Martin J. Taylor: The group logarithm past and present
Peter Schneider, Otmar Venjakob: K_1 of certain Iwasawa algebras, after Kakde
Mahesh Kakde: Congruences between abelian p
adic zeta functions
Otmar Venjakob: On the work of Ritter and Weiss in comparison with Kakde's approach
Malte Witte: Noncommutative Main Conjectures of Geometric Iwasawa Theory
ISBN:9783642321993
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v29
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , K-theory , Number theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783642310904:ONLINE Show nearby items on shelf
Title:Poisson Structures [electronic resource]
Author(s): Camille Laurent-Gengoux
Anne Pichereau
Pol Vanhaecke
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra, algebraic geometry and representation theory. In each one of thesecontexts, it turns out that the Poisson structure is not a theoretical artifact, but a key element which, unsolicited, comes along with the problem that is investigated, and its delicate properties are decisive for the solution to theproblem in nearly all cases. Poisson Structu res is the first book that offers a comprehensive introduction to the theory, as well as an overview of the different aspects of Poisson structures.The first part coverssolid foundations,the central part consists of a detailed exposition of the different known types of Poisson structures and of the (usually mathematical) contexts in which they appear, and the final part is devoted to the two main applications ofPoisson structures (integrable systems and deformation quantization). The clear structure of th e book makes it adequate for readers who come across Poisson structures in their research or for graduate students or advanced researcherswhoare interested in anintroduction to the many facets and applications of Poisson structures
Note:Springer eBooks
Contents:Part I Theoretical Background:1.Poisson Structures: Basic Definitions
2.Poisson Structures: Basic Constructions
3.Multi
Derivations and Khler Forms
4.Poisson (Co)Homology
5.Reduction
Part II Examples:6.Constant Poisson Structures, Regular and Symplectic Manifolds
7.Linear Poisson Structures and Lie Algebras
8.Higher Degree Poisson Structures
9.Poisson Structures in Dimensions Two and Three
10.R
Brackets and r
Brackets
11.PoissonLie Groups
Part III Applications:12.Liouville Integrable Systems
13.Deformation Quantization
A Multilinear Algebra
B Real
ISBN:9783642310904
Series:e-books
Series:SpringerLink (Online service)
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v347
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global analysis (Mathematics) , Global differential geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783319011950:ONLINE Show nearby items on shelf
Title:Mathematical Physics [electronic resource] : A Modern Introduction to Its Foundations
Author(s): Sadri Hassani
Date:2013
Edition:2nd ed. 2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics asdiverse as algebras, cla ssical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups,manifolds, Lie groups and their representations , Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision of thefirst one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition,namely the balance between rigor and physical application, has been maintained, as is the abun dance of historical notes and worked out examples that demonstrate the unreasonable effectiveness of mathematics in modern physics.Einstein has famously said, The most incomprehensible thing about nature is that it is comprehensible. What he had in mind w as reiterated in another one of his famous quotes concerning the question of how ... mathematics, beingafter all a product of human thought, is so admirably appropriate to the objects of reality. It is a question that comes to everyone's mind when encoun tering the highly abstract mathematics required for a deep understanding of modernphysics. It is the experience that Eugene Wigner so profoundly described as the unreasonable effectiveness of mathematics in the natural sciences.
Note:Springer eBooks
Contents:Mathematical Preliminaries
I Finite
Dimensional Vector Spaces
1 Vectors and Linear Maps
2 Algebras
3 Operator Algebra
4 Matrices
5 Spectral Decomposition
II Infinite
Dimensional Vector Spaces
6 Hilbert Spaces
7 Classical Orthogonal Polynomials
8 Fourier Analysis
III Complex Analysis
9 Complex Calculus
10 Calculus of Residues
11 Advanced Topics
IV Differential Equations
12 Separation of Variables in Spherical Coordinates
13 Second
Order Linear Differential Equations
14 Complex Analysis of SOLDEs
15 Integral Transforms and Differential Equ
ISBN:9783319011950
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783034805858:ONLINE Show nearby items on shelf
Title:Pseudo-Differential Operators, Generalized Functions and Asymptotics [electronic resource]
Author(s): Shahla Molahajloo
Stevan Pilipovi
Joachim Toft
M. W Wong
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume consists of twenty peer-reviewed papers from the special sessions on pseudodifferential operators and on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples FriendshipUniversity of Russia in Moscow on August 2227, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifoldswith edges, heat kernels and Green functions of sub-Lapla cians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, L^p-boundedness of pseudo-differential operators on thetorus, and pseudo-differential operators related to time-frequency analysis. The s econd group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlineardifferential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differ ential equations. This second group of papers is related to the third collection of papers via the setting ofColombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volumecontains the synergi es of the three areas treatedand is a useful complement toitspredecessorspublished in the same series
Note:Springer eBooks
Contents:Preface
Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds
The Singular Functions of Branching Edge Asymptotics
The Heat Kernel and Green Function of the Sub
Laplacian on the Heisenberg Group
Metaplectic Equivalence of the Hierarchical Twisted Laplacian
The Heat Kernel and Green Function of a Sub
Laplacian on the Hierarchical Heisenberg Group
Lp
Bounds for Pseudo
Differential Operators on the Torus
Multiplication Properties in Gelfand
Shilov Pseudo
Differential Calculus
Operator Invariance
Initial Value Problems in the Time
Frequency Do
ISBN:9783034805858
Series:e-books
Series:SpringerLink (Online service)
Series:Operator Theory: Advances and Applications : v231
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Global analysis , Operator theory , Differential equations, partial
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461480242:ONLINE Show nearby items on shelf
Title:Lie Groups [electronic resource]
Author(s): Daniel Bump
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range ofmaterial to give the student the bigger picture. The book is organized to allow different paths through the material depending on one's interests.This second edition has substantial new material, including improved discussions ofunderlying principles, streamlining of some pro ofs, and many results and topics that were not in the first edition. For compact Lie groups, the book covers the PeterWeyl theorem, Lie algebra, conjugacy of maximal tori, the Weylgroup, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flagvarieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics tha t are treated are symmetric function theory, the representation theory of the symmetric group, FrobeniusSchur duality andGL(n)GL(m) duality with many applications including some in random matrix theory, branching rules, Toeplitz determinants, combinatoric s of tableaux, Gelfand pairs, Hecke algebras, the philosophy of cusp forms and thecohomology of Grassmannians. An appendix introduces the reader to the use of Sage mathematical software for Lie group computations
Note:Springer eBooks
Contents:Part I: Compact Topological Groups
1 Haar Measure
2 Schur Orthogonality
3 Compact Operators
4 The PeterWeyl Theorem
Part II: Compact Lie Groups
5 Lie Subgroups of GL(n,C)
6 Vector Fields
7 Left
Invariant Vector Fields
8 The Exponential Map
9 Tensors and Universal Properties
10 The Universal Enveloping Algebra
11 Extension of Scalars
12 Representations of sl(2,C)
13 The Universal Cover
14 The Local Frobenius Theorem
15 Tori
16 Geodesics and Maximal Tori
17 The Weyl Integration Formula
18 The Root System
19 Examples of Root Systems
ISBN:9781461480242
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v225
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461471936:ONLINE Show nearby items on shelf
Title:Lie Groups: Structure, Actions, and Representations [electronic resource] : In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday
Author(s): Alan Huckleberry
Ivan Penkov
Gregg Zuckerman
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profoundcontributions to mathematics. D ue to Professor Wolfs broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods areemployed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representationspaces are discussed. Contributions in the area of representation theory involve numero us viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V . Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Kornyi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. rsted
Note:Springer eBooks
Contents:Preface
Real group orbits on flag manifolds
Complex connections with trivial holonomy
Indefinite harmonic theory and harmonic spinors
Twistor theory and the harmonic hull
Nilpotent Gelfand pairs and spherical transforms of Schwartz functions, II: Taylor expansions on singular sets
Propagation of the multiplicity
freeness property for holomorphic vector bundles
Poisson transforms for line bundles from the Shilov boundary to bounded symmetric domains
Cent(U(n)), cascade of orthogonal roots, and a construction of LipsmanWolf
Weakly harmonic Maa forms and the princi
ISBN:9781461471936
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v306
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Functional analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9780817683856:ONLINE Show nearby items on shelf
Title:New Foundations in Mathematics [electronic resource] : The Geometric Concept of Number
Author(s): Garret Sobczyk
Date:2013
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple androbust means of expressi ng a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematicsand physics. Much of the material presented h as been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modernabstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. The book begins with a discussion of modular numbers (clock arithmetic) and modularpolynomials. This leads to the idea of a spectral basis, the complex and hyperbolic numbers, and finally to geometric algebra, which lays the groundwork for the remainder of the text. Many topics are presented in a new light,including: * vector spaces and matrices * structure of linear operators and quadratic forms * Hermitian inner product spaces * geometry of moving planes * spacetime of special relativity * classical integration theorems *differential geometry of curves and smooth surfaces * projective geometry * Lie groups and Lie algebras. Exercises with selected solutions are provided, and cha pter summaries are included to reinforce concepts as they are covered.Links to relevant websites are often given, and supplementary material is available on the authors website. New Foundations in Mathematics will be of interest to undergraduate and grad uate students of mathematics and physics whoare looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a s
Note:Springer eBooks
Contents:1 Modular Number Systems
2 Complex and Hyperbolic Numbers
3 Geometric Algebra
4 Vector Spaces and Matrices
5 Outer Product and Determinants
6 Systems of Linear Equations
7 Linear Transformations on R^n
8 Structure of a Linear Operator
9 Linear and Bilinear Forms
10 Hermitian Inner Product Spaces
11 Geometry of Moving Planes
12 Representations of the Symmetric Group
13 Calculus on m
Surfaces
14 Differential Geometry of Curves
15 Differential Geometry of k
Surfaces
16 Mappings Between Surfaces
17 Non
Euclidean and Projective Geometries
18 Lie Gr
ISBN:9780817683856
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Matrix theory , Topological Groups , Mathematical physics , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9780817683641:ONLINE Show nearby items on shelf
Title:Configurations from a Graphical Viewpoint [electronic resource]
Author(s): Toma Pisanski
Brigitte Servatius
Date:2013
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. Inthis self-contained tex tbook, algebraic graph theory is used to introduce groups topological graph theory is used to explore surfaces and geometric graph theory is implemented to analyze incidence geometries. After a preview ofconfigurations in Chapter 1, a concise introduction to graph theory is presented in Chapter 2, followed by a geometric introduction to groups in Chapter 3. Maps and surfaces are combinatorially treated in Chapter 4. Chapter 5introduces the concept of incidence structure through vertex colored graphs, and the combinatorial aspects of classical configurations are studied.Geometric aspects, some historical remarks, references, and applicationsof classicalconfigurationsappear in the last chapter. With over two hundred illustrations, challenging exercises at t he end of each chapter, a comprehensive bibliography, and a set of open problems, Configurations from a Graphical Viewpoint iswell suited for a graduate graph theory course, an advanced undergraduate seminar, or a self-contained reference for mathematicia ns and researchers
Note:Springer eBooks
Contents:Preface
Introduction
Graphs
Groups, Actions, and Symmetry
Maps
Combinatorial Configurations
Geometric Configurations
Index
Bibliography
ISBN:9780817683641
Series:e-books
Series:SpringerLink (Online service)
Series:Birkhuser Advanced Texts Basler Lehrbcher
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Combinatorics , Geometry , Topology
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9783642227172:ONLINE Show nearby items on shelf
Title:The Schrdinger-Virasoro Algebra [electronic resource] Mathematical structure and dynamical Schrdinger symmetries
Author(s): Jrmie Unterberger
Claude Roger
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structurethe Schrdinger-Virasoro algebra. Just as Poincar invariance or conformal (Virasoro) invarianceplay a key role in understanding , respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study ofsome models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence. The study of the structure of this infinite-dimensional Liealgebra touches upon topics as various as statistical physics, vertex algebras, Po isson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and thespectral theory of Schrdinger operators.
Note:Springer eBooks
Contents:Introduction
Geometric Definitions of SV
Basic Algebraic and Geometric Features
Coadjoint Representaion
Induced Representations and Verma Modules
Coinduced Representations
Vertex Representations
Cohomology, Extensions and Deformations
Action of sv on Schrdinger and Dirac Operators
Monodromy of Schrdinger Operators
Poisson Structures and Schrdinger Operators
Supersymmetric Extensions of sv
Appendix to chapter 6
Appendix to chapter 11
Index
ISBN:9783642227172
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Algebra , Topological Groups , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9783642227165:ONLINE Show nearby items on shelf
Title:The Schringer-Virasoro Algebra [electronic resource]
Author(s): Jie Unterberger
Claude Roger
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642227165
Series:Texts and Monographs in Physics
Series:e-books
Keywords: Mathematical Methods in Physics , Topological Groups, Lie Groups , Mathematical Physics , Category Theory, Homological Algebra , Statistical Physics, Dynamical Systems and Complexity
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9783642225970:ONLINE Show nearby items on shelf
Title:Topics in Noncommutative Algebra [electronic resource] : The Theorem of Campbell, Baker, Hausdorff and Dynkin
Author(s): Andrea Bonfiglioli
Roberta Fulci
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, NumericalAnalysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra ornot) to understand and apply the statements and numero us corollaries of the main result 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view andnotation 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincar, Pascal, Campbell, Baker, Hausdorff and Dynkin 4) give an outlook on theapplications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) 5 ) quickly enable the reader, through a description of the state-of-art and open problems, to understand the modernliterature concerning a theorem which, though having its roots in the beginning of the20th century, has not ceased to provide new problems an d applications. The book assumes some undergraduate-level knowledge of algebra and analysis,but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool fo r beginners in Algebra
Note:Springer eBooks
Contents:1 Historical Overview
Part I Algebraic Proofs of the CBHD Theorem
2 Background Algebra
3 The Main Proof of the CBHD Theorem
4 Some Short Proofs of the CBHD Theorem
5 Convergence and Associativity for the CBHD Theorem
6 CBHD, PBW and the Free Lie Algebras
Part II Proofs of the Algebraic Prerequisites
7 Proofs of the Algebraic Prerequisites
8 Construction of Free Lie Algebras
9 Formal Power Series in One Indeterminate
10 Symmetric Algebra
ISBN:9783642225970
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2034
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9783642154829:ONLINE Show nearby items on shelf
Title:Symmetries and Group Theory in Particle Physics [electronic resource] : An Introduction to Space-Time and Internal Symmetries
Author(s): Giovanni Costa
Gianluigi Fogli
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is anintroduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of theMinkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standardmodel of particle physics. This book, based on several courses given by th e authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge ofclassical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures
Note:Springer eBooks
Contents:Introduction to Lie Groups and their Representations
The Rotation Group
The Homogeneous Lorentz Group
The Poincare Transformation
One Particle and Two Particle States
Discrete Operations
Relativistic Equations
Unitary Symmetries
Gauge Symmetries
Rotation Matrices and Clebsch
Gordan Coeficients
Symmetric Goups and Identical Particles
Young Tableaux and Irreducible Representations ot he Unitary Groups
Solutions
Index
ISBN:9783642154829
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v823
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Quantum theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9783034804202:ONLINE Show nearby items on shelf
Title:Classical Geometries in Modern Contexts [electronic resource] : Geometry of Real Inner Product Spaces Third Edition
Author(s): Walter Benz
Date:2012
Edition:3rd ed. 2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolicgeometry with respect to nat ural properties of (general) translations and general distances of X. Also for these spaces X, it studies the sphere geometries of Mbius and Lie as well as geometries where Lorentz transformations play thekey role. Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentztransformations. A real benefit is the dimension-free approach to important geome trical theories. New to this third edition is a chapter dealing with a simple and great idea of Leibniz that allows us to characterize, for these samespaces X, hyperplanes of euclidean, hyperbolic geometry, or spherical geometry, the geometries of Lorentz -Minkowski and de Sitter, and this through finite or infinite dimensions greater than 1. Another new and fundamental result inthis edition concerns the representation of hyperbolic motions, their form and their transformations. Further we show that the ge ometry (P,G) of segments based on X is isomorphic to the hyperbolic geometry over X. Here P collects all xin X of norm less than one, G is defined to be the group of bijections of P transforming segments of P onto segments. The only prerequisites for read ing this book are basic linear algebra and basic 2- and 3-dimensional real geometry.This implies that mathematicians who have not so far been especially interested in geometry could study and understand some of the great ideas of classical geometries in m odern and general contexts
Note:Springer eBooks
Contents:Preface
1 Translation Groups
2 Euclidean and Hyperbolic Geometry
3 Sphere Geometries of Mbius and Lie
4 Lorentz Transformations
5 Projective Mappings, Isomorphism Theorems
6 Planes of Leibniz, Lines of Weierstrass, Varia
A Notation and symbols
B Bibliography
Index
ISBN:9783034804202
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781461442448:ONLINE Show nearby items on shelf
Title:Homogeneous Finsler Spaces [electronic resource]
Author(s): Shaoqiang Deng
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is a unique addition to the existing literature in the field of Finsler geometry. This is the first monograph to deal exclusively with homogeneous Finsler geometry and to make serious use of Lie theory in the study ofthis rapidly developing field. The increasing activity in Finsler geometry can be attested in large part to the driving influence of S.S. Chern, its proven use in many fields of scientific study such as relativity, optics, geosciences,mathematical biology, and psychology, and i ts promising reach to real-world applications. This work has potential for broad readership it is a valuable resource not only for specialists of Finsler geometry, but also for differentialgeometers who are familiar with Lie theory, transformation groups, and homogeneous spaces. The exposition is rigorous, yet gently engages the readerstudent and researcher alikein developing a ground level understanding of thesubject. A one-term graduate course in differential geometry and elementary topology are prerequ isites. In order to enhance understanding, the author gives a detailed introduction and motivation for the topics of each chapter, as wellas historical aspects of the subject, numerous well-selected examples, and thoroughly proved main results. Comments f or potential further development are presented in Chapters 37. A basic introduction to Finsler geometry isincluded in Chapter 1 the essentials of the related classical theory of Lie groups, homogeneous spaces and groups of isometries are presented in Chap ters 23. Then the author develops the theory of homogeneous spaces within theFinslerian framework. Chapters 46 deal with homogeneous, symmetric and weakly symmetric Finsler spaces. Chapter 7 is entirely devoted to homogeneous Randers spaces, which are goo d candidates for real world applications andbeautiful illustrators of the developed theory
Note:Springer eBooks
Contents:Preface
Acknowledgements
1. Introduction to Finsler Geometry
2. Lie Groups and Homogenous Spaces
3. The Group of Isometries
4. Homogeneous Finsler Spaces
5. Symmetric Finsler Spaces
6. Weakly Symmetric Finsler Spaces
7. Homogeneous Randers Spaces
References
Index.
ISBN:9781461442448
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781461407096:ONLINE Show nearby items on shelf
Title:Buildings, Finite Geometries and Groups [electronic resource] : Proceedings of a Satellite Conference, International Congress of Mathematicians, Hyderabad, India, 2010
Author(s): N.S. Narasimha Sastry
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume collects articles inspired by the Proceedings of the ICM 2010 Satellite Conference on Buildings, Finite Geometries and Groups organized at the Indian Statistical Institute, Bangalore, from August 29 31,2010. These contributors include so me of the most active researchers in areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lietheory, and more. Contributions reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective that the authors bring to their articles on currentdevelopments and major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these fields
Note:Springer eBooks
Contents:1. On Characterizing Designs By Their Codes (B. Bagchi)
2. The Geometry of Extremal Elements in a Lie Algebra (A.M. Cohen)
3. Properties of a 27
dimensional Space of Symmetric Bilinear Forms Acted on by E6 (R. Gow)
4. On the Geometry of Global Function Fields, the Riemann
Roch Theorem, and Finiteness Properties of S
arithmetic Groups (R. Gramlich)
5. Some Remarks on Two
Transitive Permutation Groups as Multiplication Groups of Quasigroups (G. Hiss, F. Lbeck)
6. Curve Complexes Versus Tits Buildings: Structures and Applications (Lizhen Ji)
7. On Isotypies Between Galois Conj
ISBN:9781461407096
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics, 2190-5614 : v10
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Cell aggregation Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781447123538:ONLINE Show nearby items on shelf
Title:Mathematical Methods for Signal and Image Analysis and Representation [electronic resource]
Author(s): Luc Florack
Remco Duits
Geurt Jongbloed
Marie-Colette Lieshout
Laurie Davies
Date:2012
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks. In the context of this book an image may be any m-dimensional empirical signal living onan n-dimensional smo oth manifold (typically, but not necessarily, a subset of spacetime). The existing literature on image methodology is rather scattered and often limited to either a deterministic or a statistical point of view. Incontrast, this book brings together these seemingly different points of view in order to stress their conceptual relations and formal analogies. Furthermore, it does not focus on specific applications, although some are detailed forthe sake of illustration, but on the methodological frameworks on which such applications are built, making it an ideal companion for those seeking a rigorous methodological basis for specific algorithms as well as for those interestedin the fundamental methodology per se. Covering many topics at the forefront of curre nt research, including anisotropic diffusion filtering of tensor fields, this book will be of particular interest to graduate and postgraduatestudents and researchers in the fields of computer vision, medical imaging and visual perception
Note:Springer eBooks
Contents:A Short Introduction to Diffusion
like Methods
Adaptive Filtering using Channel Representations
3D
Coherence
Enhancing Diffusion Filtering for Matrix Fields
Structural Adaptive Smoothing: Principles and Applications in Imaging
SPD Tensors Regularization via Iwasawa Decomposition
Sparse Representation of Video Data by Adaptive Tetrahedralizations
Continuous Diffusion Wavelet Transforms and Scale Space over Euclidean Spaces and Noncommutative Lie Groups
Left Invariant Evolution Equations on Gabor Transforms
Scale Space Representations Locally Adapted to the Geometry of Ba
ISBN:9781447123538
Series:e-books
Series:SpringerLink (Online service)
Series:Computational Imaging and Vision, 1381-6446 : v41
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781441999825:ONLINE Show nearby items on shelf
Title:Introduction to Smooth Manifolds [electronic resource]
Author(s): John M Lee
Date:2012
Edition:2nd ed. 2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific researchsmoothstructures, tangent vector s and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. Theapproach is as concrete as possible, with pictu res and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. Thissecond edition has been extensively revised and clarified, and the topic s have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, muchearlier so that they can be used throughout the book. A few new topics have been added, notably Sards theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study offirst-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds , and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, thefundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis
Note:Springer eBooks
Contents:Preface
1 Smooth Manifolds
2 Smooth Maps
3 Tangent Vectors
4 Submersions, Immersions, and Embeddings
5 Submanifolds
6 Sard's Theorem
7 Lie Groups
8 Vector Fields
9 Integral Curves and Flows
10 Vector Bundles
11 The Cotangent Bundle
12 Tensors
13 Riemannian Metrics
14 Differential Forms
15 Orientations
16 Integration on Manifolds
17 De Rham Cohomology
18 The de Rham Theorem
19Distributions and Foliations
20 The Exponential Map
21 Quotient Manifolds
22 Symplectic Manifolds
Appendix A: Review of Topology
Appendix B: Review
ISBN:9781441999825
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v218
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817683344:ONLINE Show nearby items on shelf
Title:Multiple Dirichlet Series, L-functions and Automorphic Forms [electronic resource]
Author(s): Daniel Bump
Solomon Friedberg
Dorian Goldfeld
Date:2012
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibitssurprising and deep connection s to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical mechanics, and quantum groups are seen to fit together.The volume also includes papers on automorphic forms a nd L-functions and related number-theoretic topics. This volume will be a valuable resource for graduate students and researchers in number theory, combinatorics, representationtheory, mathematical physics, and special functions. Contributors: J. Beineke, B. Brubaker, D. Bump, G. Chinta, G. Cornelissen, C.A. Diaconu, S. Frechette, S. Friedberg, P. Garrett, D. Goldfeld, P.E. Gunnells, B. Heim, J. Hundley, D.Ivanov, Y. Komori, A.V. Kontorovich, O. Lorscheid, K. Matsumoto, P.J. McNamara, S.J. Patterson, M. S uzuki, H. Tsumura
Note:Springer eBooks
Contents:Preface
Introduction: Multiple Dirichlet Series
A Crystal Description for Symplectic Multiple Dirichlet Series
Metaplectic Whittaker Functions and Crystals of Type B
Metaplectic Ice
Littelmann patterns and Weyl Group Multiple Dirichlet Series of Type D
Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series
Natural Boundaries and Integral Moments of L
functions
A Trace Formula of Special Values of Automorphic L
functions
TheAdjoint L
function of SU(2,1)
Symplectic Ice
On Witten Multiple Zeta
Functions Associated with Semisimple Lie Algebr
ISBN:9780817683344
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v300
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Functions, special , Combinatorics , Number theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817682743:ONLINE Show nearby items on shelf
Title:Highlights in Lie Algebraic Methods [electronic resource]
Author(s): Anthony Joseph
Anna Melnikov
Ivan Penkov
Date:2012
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:An outgrowth of a two-week summer sessionat Jacobs University inBremen, Germany in August 2009 (Structures in Lie Theory, Crystals, Derived Functors, HarishChandra Modules, Invariants and Quivers), this volume consistsof expository and research artic les that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and KacMoody Lie algebras, modularrepresentations, primitive ideals, representation theory of Arti n algebras and quivers, KacMoody superalgebras, categories of HarishChandra modules, cohomological methods, and cluster algebras. List of Contributors: M. BoosM. Brion J. Fuchs M. Gorelik A. Joseph M. Reineke C. Schweigert V. Serganova A. Seven W. Soergel B. Wilson G. Zuckerman
Note:Springer eBooks
Contents:Preface
Part I: The Courses
1 Spherical Varieties
2 Consequences of the Littelmann Path Model for the Structure of the Kashiwara B() Crystal
3 Structure and Representation Theory of KacMoody Superalgebras
4 Categories of HarishChandra Modules
5 Generalized HarishChandra Modules
Part II: The Papers
6 B
Orbits of 2
Nilpotent Matrices
7 The Weyl Denominator Identity for Finite
Dimensional Lie Superalgebras
8 Hopf Algebras and Frobenius Algebras in Finite Tensor Categories
9 Mutation Classes of 3 x 3 Generalized Cartan Matrices
10 Contractions and Po
ISBN:9780817682743
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v295
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Matrix theory , Topological Groups
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817682712:ONLINE Show nearby items on shelf
Title:Differentiable Manifolds [electronic resource] : A Theoretical Physics Approach
Author(s): Gerardo F Torres del Castillo
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The works first three chaptersintroduce the basic concep ts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequentlyemployed in the study of differential equations ( Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked outin detail, as well as exercises intended to show how the formalism is a pplied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduateor beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics
Note:Springer eBooks
Contents:Preface
1 Manifolds
2 Lie Derivatives
3 Differential Forms
4 Integral Manifolds
5 Connections
6. Riemannian Manifolds
7 Lie Groups
8 Hamiltonian Classical Mechanics
References
Index
ISBN:9780817682712
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Cell aggregation Mathematics , Mathematical physics , Mechanics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817649449:ONLINE Show nearby items on shelf
Title:Stochastic Models, Information Theory, and Lie Groups, Volume 2 [electronic resource] : Analytic Methods and Modern Applications
Author(s): Gregory S Chirikjian
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges betweenfields that are rarely stu died by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, andgroup-theoretic concepts in the modeling of physical p henomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, andthe probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statisticalanalysis, and error propagation on Lie groups. Key features and topics of Volume 2: * The author reviews the concept ofandfunctions and integration onLie groups with many concrete examples. * Extensive exercises andmotivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes on Lie groups or geometric aspects of probability and statistics. *Specific application areas are explored,including biomolecular statistical mechanics and information-driven motion in robotics. * The concrete presentation style makes it easy for readers to obtain numeri cal solutions for their own problems the emphasis is on how tocalculate quantities rather than how to prove theorems. * Modern problems at the interface of mechanics, control theory, and communications are handled in a unified framework and multiple direc tions for future research are explored.Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practition
Note:Springer eBooks
Contents:Lie Groups I: Introduction and Examples
Lie Groups II: Differential Geometric Properties
Lie Groups III: Integration, Convolution, and Fourier Analysis
Variational Calculus on Lie Groups
Statistical Mechanics and Ergodic Theory
Parts Entropy and the Principal Kinematic Formula
Estimation and Multivariate Analysis in R^n
Information, Communication, and Group Therapy
Algebraic and Geometric Coding Theory
Information Theory on Lie Groups
Stochastic Processes on Lie Groups
Locomotion and Perception as Communication over Principal Fiber Bundles and A Survey of Addi
ISBN:9780817649449
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Global differential geometry , Distribution (Probability theory) , Mathematical physics , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817648176:ONLINE Show nearby items on shelf
Title:Representation Theory, Complex Analysis, and Integral Geometry [electronic resource]
Author(s): Bernhard Krtz
Omer Offen
Eitan Sayag
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is an outgrowth of the special term Harmonic Analysis, Representation Theory, and Integral Geometry, held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonnduring the summer of 2007. The contributions in the volume provide a window into a variety of subjects related to reductive groups: real and complex analysis on homogeneous spaces, arithmetic aspects of moment geometry, geometry offlag varieties, restriction theory of representations, modern aspects of special functions, multiple Dirichlet series, and unfolding identities in the theory of automorphic forms. Throughout the work, great emphasis was placed onmaking the articles accessible to interested newcomers to these fields and gradu ate students. Representation Theory, Complex Analysis, and Integral Geometry aims to stimulate future research in these areas. Contributors: J. Bernstein,G. Chinta, D. Ciubotaru, J. Faraut, S. Gindikin, J. Jorgenson, J. Kramer, B. Krtz, Y.A. Neretin, K. N ishiyama, O. Offen, H. Schlichtkrull, M.J. Slupinski, R.J. Stanton, B. Speh, P.E. Trapa, T.N.Venkataramana
Note:Springer eBooks
Contents:Preface
On Function Spaces on Symmetric Spaces
A Relation Involving RankinSelberg L
Functions of Cusp Forms and Maass Forms
Orthogonal Period of a Gl3(Z) Eisenstein Series
Regular Orbits of Symmetric Subgroups on Partial Flag Varieties
Helgason's Conjecture in Complex Analytical Interior
Lectures on Lie Algebras
SteinSahi Complementary Series and Their Degenerations
The Special Symplectic Structure of Binary Cubics
On the Restriction of Representations of Sl(2C) to Sl(2,R)
Asymptotics of Spherical Functions for Large Rank: An Introduction
ISBN:9780817648176
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Topological Groups , Global analysis (Mathematics) , Global differential geometry , Number theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780387847948:ONLINE Show nearby items on shelf
Title:Structure and Geometry of Lie Groups [electronic resource]
Author(s): Joachim Hilgert
Karl-Hermann Neeb
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This text is designed as an introduction to Lie groups and their actions on manifolds, one that is accessible both to a broad range of mathematicians and to graduate students.Building onthe authors' Lie-Gruppen undLie-Algebren textbook from 1991, itp resents the fundamental principles of Lie groupswhile incorporating the past 20 years of the authors' teaching and research, and giving due emphasis to the role played by differential geometryin the field. The text is entirely self contained,and provides ample guidance to students with the presence of many exercises and selected hints. The work begins with a study of matrix groups, which serve as examples to concretelyand directly illustratethe correspondence between groups and their Lie algebras. In the second part of the book, theauthorsinvestigate the basic structure and representation theory of finite dimensional Lie algebras,suchasthe rough structure theory relevant to the theorems of Levi and Malcev, the fine structure of semisimple Lie algebras (ro ot decompositions), and questions related to representation theory. In the third part of the book, the authorsturn to global issues, most notably the interplay between differential geometry and Lie theory. Finally, thefourth part of the book deals with th e structure theory of Lie groups, includingsome refined applications of theexponential function, various classes of Lie groups, andstructural issues for general Lie groups. To round out the book's content, several appendices appear at the end of thislast part. Containing a wealth of useful information,including new results, Structure and Geometry of Lie Groups provides a unique perspective on the study of Lie groups andis a valuable addition to the literature. Prerequisites are generally kept to a minimum , and various pedagogicalfeatures make it an excellent supplemental text for graduate students. However, the work also contains much that will be of interest to more adva
Note:Springer eBooks
Contents:Preface
1 Introduction
Part I Matrix Groups
2 Concrete Matrix Groups
3The Matrix Exponential Function
4Linear Lie Groups
Part II Lie Algebras
5Elementary Structure Theory of Lie Algebras
6Root Decomposition
7Representation Theory of Lie Algebras
Part III Manifolds and Lie Groups
8 Smooth Manifolds
9 Basic Lie Theory
10 Smooth Actions of Lie Groups
Part IV Structure Theory of Lie Groups
11 Normal Subgroups, Nilpotemt and Solvable Lie Groups
12 Compact Lie Groups
13 Semisimple Lie Groups
14 General Structure Theory
15 Complex Lie
ISBN:9780387847948
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry , Algebraic topology
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642217449:ONLINE Show nearby items on shelf
Title:Supersymmetry in Mathematics and Physics [electronic resource] : UCLA Los Angeles, USA 2010
Author(s): Sergio Ferrara
Rita Fioresi
V.S Varadarajan
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new developmentin geometry, and mat hematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of thevarious questions raised
Note:Springer eBooks
Contents:Introduction
Black Holes and First Order Flows in Supergravity
Representations of Super Lie Groups: Some Remarks
On Chiral Quantum Superspaces
On the Construction of Chevalley Supergroup
Indecomposable Finite
dimensional Representations of a Class o f Lie algebras and Lie Superalgebras
On the Geometry of Super Riemann Surfaces
Charge Orbits and Moduli Spaces of Black Hole Attractors
Maximal Supersymmetry
Lie Supergroups, Unitary Representations, and Invariant Cones
Geometry of Dual Pairs of Complex Supercurves
On the Superdimension of an Irreducible Representat
ISBN:9783642217449
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2027
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Geometry , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642212987:ONLINE Show nearby items on shelf
Title:Riemannian Geometry and Geometric Analysis [electronic resource]
Author(s): Jrgen Jost
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that hadfound a spectacular su ccess in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discussed further examples of geometric variational problems from quantum field theory, another source of profound newideas and methods in geometry. The 6th edit ion includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. Also, the entire material has been reorganized in order to improve the coherence of thebook. From the reviews: This book provides a very readable intro duction to Riemannian geometry and geometric analysis. ... With the vast development of the mathematical subject of geometric analysis, the present textbook is mostwelcome. Mathematical Reviews ...the material ... is self-contained. Each chapter ends with a set of exercises. Most of the paragraphs have a section Perspectives, written with the aim to place the material in a broadercontext and explain further results and directions. Zentralblatt MATH
Note:Springer eBooks
Contents:1. Riemannian Manifolds
2. Lie Groups and Vector Bundles
3. The Laplace Operator and Harmonic Differential Forms
4. Connections and Curvature
5. Geodesics and Jacobi Fields
6. Symmetric Spaces and Kahler Manifolds
7. Morse Theory and Floer Homology
8. Harmonic Maps between Riemannian Manifolds
9. Harmonic Maps from Riemann Surfaces
10. Variational Problems from Quantum Field Theory
A. Linear Elliptic Partial Differential Equations
A.1 Sobolev Spaces
A.2 Linear Elliptic Equations
A.3 Linear Parabolic Equations
B. Fundamental Groups and Covering Spaces
ISBN:9783642212987
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642211478:ONLINE Show nearby items on shelf
Title:p-Adic Lie Groups [electronic resource]
Author(s): Peter Schneider
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Manifolds over complete nonarchimedean fields together with notions like tangent spaces and vector fields form a convenient geometric language to express the basic formalism of p-adic analysis. The volume starts with aself-contained and detailed intr oduction to this language. This includes the discussion of spaces of locally analytic functions as topological vector spaces, important for applications in representation theory. The author then sets upthe analytic foundations of the theory of p-adic Lie groups and develops the relation between p-adic Lie groups and their Lie algebras. The second part of the book contains, for the first time in a textbook, a detailed exposition ofLazard's algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of completed group rings
Note:Springer eBooks
Contents:Introduction
Part A: p
Adic Analysis and Lie Groups
I.Foundations
I.1.Ultrametric Spaces
I.2.Nonarchimedean Fields
I.3.Convergent Series
I.4.Differentiability
I.5.Power Series
I.6.Locally Analytic Functions
II.Manifolds
II.7.Charts and Atlases
II.8.Manifolds
II.9.The Tangent Space
II.10.The Topological Vector Space C^an(M,E), part 1
II.11 Locally Convex K
Vector Spaces
II.12 The Topological Vector Space C^an(M,E), part 2
III.Lie Groups
III.13.Definitions and Foundations
III.14.The Universal Enveloping Algebra
III.15.The Concept of Free
ISBN:9783642211478
Series:e-books
Series:SpringerLink (Online service)
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v344
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642183997:ONLINE Show nearby items on shelf
Title:Homogeneous Spaces and Equivariant Embeddings [electronic resource]
Author(s): D.A Timashev
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standardreasons of algebraic geomet ry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally,open embeddings of a given homogeneous space. S uch equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of combinatorial nature (the Luna-Vusttheory) and description of various geometric and representation-theoretic prop erties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest inthe scope of this book. Spherical varieties include many classical examples, such as Grassmannians , flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the importantissues, including the recent substantial progress obtained in and around the theory of spherical varieties
Note:Springer eBooks
Contents:Introduction
1 Algebraic Homogeneous Spaces
2 Complexity and Rank
3 General Theory of Embeddings
4 Invariant Valuations
5 Spherical Varieties
Appendices
Bibliography
Indices
ISBN:9783642183997
Series:e-books
Series:SpringerLink (Online service)
Series:Encyclopaedia of Mathematical Sciences, 0938-0396 : v138
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Topological Groups
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642156274:ONLINE Show nearby items on shelf
Title:Points and Lines [electronic resource] : Characterizing the Classical Geometries
Author(s): Ernest Shult
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphicimages of them) are c haracterized in this book by simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence geometries and their automorphism groups.These tools could be useful in shortening t he enormously lengthy classification of finite simple groups. Similarly, recognizing ruled manifolds by axioms on light trajectories offers a way for a physicist to recognize the action of aLie group in a context where it is not clear what Hamiltonians or Casimir operators are involved. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appealto outside results. Several chapters have new heretofore unpublished research results. On the other hand, certain groups of chapters would make good graduate courses. All but one chapter provide exercises for either use in such acourse, or to elicit new research directions
Note:Springer eBooks
Contents:I.Basics
1 Basics about Graphs
2 .Geometries: Basic Concepts
3 .Point
line Geometries
4.Hyperplanes, Embeddings and Teirlinck's Eheory
II.The Classical Geometries
5 .Projective Planes
6.Projective Spaces
7.Polar Spaces
8.Near Polygons
III.Methodology
9.Chamber Systems and Buildings
10.2
Covers of Chamber Systems
11.Locally Truncated Diagram Geometries
12.Separated Systems of Singular Spaces
13 Cooperstein's Theory of Symplecta and Parapolar Spaces
IV.Applications to Other Lie Incidence Geometries
15.Characterizing the Classical Strong Parapolar Spac
ISBN:9783642156274
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Geometry
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642147005:ONLINE Show nearby items on shelf
Title:Topology and Geometry for Physics [electronic resource]
Author(s): Helmut Eschrig
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts aresystematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points,as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physicsand gravitation
Note:Springer eBooks
Contents:Introduction
Topology
Manifolds
Tensor Fields
Integration, Homology and Cohomology
Lie Groups
Bundles and Connections
Parallelism, Holonomy, Homotopy and (Co)homology
Riemannian Geometry
Compendium
ISBN:9783642147005
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, Volume 822, 0075-8450 : v822
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642111174:ONLINE Show nearby items on shelf
Title:Harmonic Analysis and Group Representation [electronic resource]
Author(s): A. Fig Talamanca
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Lectures: A. Auslander, R. Tolimeri: Nilpotent groups and abelian varieties.- M Cowling: Unitary and uniformly bounded representations of some simple Lie groups.- M. Duflo: Construction de representations unitaires dun groupede Lie.- R. Howe: On a no tion of rank for unitary representations of the classical groups.- V.S. Varadarajan: Eigenfunction expansions of semisimple Lie groups.- R. Zimmer: Ergodic theory, group representations and rigidity.- Seminars:A. Koranyi: Some applications of Gelfand pair s in classical analysis
Note:Springer eBooks
Contents:A. Auslander, R. Tolimeri: Nilpotent groups and abelian varieties
M Cowling: Unitary and uniformly bounded representations of some simple Lie groups
M. Duflo: Construction de reprsentations unitaires dun groupe de Lie
R. Howe: On a notion of rank for unitary representations of the classical groups
A. Koranyi: Some applications of Gelfand pairs in classical analysis
V.S. Varadarajan: Eigenfunction expansions of semisimple Lie groups
R. Zimmer: Ergodic theory, group representations and rigidity
ISBN:9783642111174
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v82
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Number theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Return to the Fermilab Library catalog