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SPIRES-BOOKS: FIND KEYWORD NONASSOCIATIVE RINGS *END*INIT* use /tmp/qspiwww.webspi1/609.222 QRY 131.225.70.96 . find keyword nonassociative rings ( in books using www Cover
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Call number:SPRINGER-2009-9783764388584:ONLINE Show nearby items on shelf
Title:Selected Works of A.I. Shirshov [electronic resource]
Author(s): Leonid Bokut
Ivan Shestakov
Victor Latyshev
Efim Zelmanov
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (19211981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groupsand projective planes. His name is associated with notions and results on Grbner-Shirshov bases, the Composition-Diamond Lemma, the Shirshov-Witt Theorem, the Lazard-Shirshov elimination process, Shirshovs Height Theorem,Lyndon-Shirshov words, Hall-Shirshov bases, Shirshovs theorem on the Kurosh problem for alternative and Jordan algebras, and Shirshovs theorem on the speciality of Jordan algebras with two generators. Shirshovs ideas were usedby his student Efim Zelmanov for the solution of the Restricted Burnside Problem. Several famous algebraists provide in this book detailed comments on the impact of Shirshovs work on current algebra
Note:Springer eBooks
Contents:From the contents: Publications of A.I. Shirshov: Subalgebras of free Lie algebras
On the representation of Lie rings in associative rings
Subalgebras of free commutative and free anticommutative algebras
On special J
rings
Some theorems on embedding of rings
On some nonassociative nil
rings and algebraic algebras
On rings with identical relations
On free Lie rings
On a problem of Levitzki
Some problems in the theory of rings that are nearly associative
Some algorithmic problems for e
algebras
Some algorithmic problems for Lie algebras
On a hypothesis in the
ISBN:9783764388584
Series:e-books
Series:SpringerLink (Online service)
Series:Contemporary Mathematicians
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematics_$xHistory
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Call number:SPRINGER-2004-9781402045226:ONLINE Show nearby items on shelf
Title:Concise Encyclopedia of Supersymmetry And noncommutative structures in mathematics and physics
Author(s): Steven Duplij
Date:2004
Size:1 online resource (eReference p.)
Note:10.1007/1-4020-4522-0
ISBN:9781402045226
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Group theory , Nonassociative rings , Rings (Algebra) , Physics , Theoretical, Mathematical and Computational Physics , Non-associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-2004-9780387217246:ONLINE Show nearby items on shelf
Title:Combinatorial Methods Free Groups, Polynomials, and Free Algebras
Author(s): Alexander A Mikhalev
Date:2004
Size:1 online resource (315 p.)
Note:10.1007/978-0-387-21724-6
Contents:I Groups -- 1 Classical Techniques of Combinatorial Group Theory -- 2 Test Elements -- 3 Other Special Elements -- 4 Automorphic Orbits -- II Polynomial Algebras -- 5 The Jacobian Conjecture -- 6 The Cancellation Conjecture -- 7
Nagata’s Problem -- 8 The Embedding Problem -- 9 Coordinate Polynomials -- 10 Test Polynomials -- III Free Nielsen-Schreier Algebras -- 11 Schreier Varieties of Algebras -- 12 Rank Theorems and Primitive Elements -- 13 Generalized
Primitive Elements -- 14 Free Leibniz Algebras -- References -- Notation Index -- Author Index
ISBN:9780387217246
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Nonassociative rings , Rings (Algebra) , Mathematics , Algebraic Geometry , Non-associative Rings and Algebras
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Call number:SPRINGER-2003-9789401703376:ONLINE Show nearby items on shelf
Title:Proceedings of the Third International Algebra Conference June 16–July 1, 2002 Chang Jung Christian University, Tainan, Taiwan
Author(s): Yuen Fong
Date:2003
Size:1 online resource (268 p.)
Note:10.1007/978-94-017-0337-6
ISBN:9789401703376
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Algebra , Field theory (Physics) , Group theory , Nonassociative rings , Mathematics , Field Theory and Polynomials , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-2003-9781461302353:ONLINE Show nearby items on shelf
Title:Groups, Rings, Lie and Hopf Algebras
Author(s):
Date:2003
Size:1 online resource (241 p.)
Note:10.1007/978-1-4613-0235-3
Contents:Generalized Lie Solvability Of Associative Algebras -- Two-Sided Ideals Of Some Finite-Dimensional Algebras -- On HNN-Extensions In The Class Of Groups Of Large Odd Exponent -- Constructing Noetherian Algebras -- On Radicals Of Triple
Systems -- Some Results On Hopf Algebras Of Frobenius Type -- Polynomial Identities In Hopf Algebras: Passman’s Theorem And Its Dual -- Nilpotent Subsets Of Hopf Module Algebras -- On Hopf Algebra Extensions Arising From Semi-Direct
Products Of Groups -- An introduction to universal central extensions of Lie superalgebras -- Non-Commutative, Non-Cocommutative Semisimple Hopf Algebras -- Self-Normalization Of Free Subgroups In The Free Burnside Groups -- Root
Direct Limits Of Lie Superalgebras -- Torsion Freeness Of The Unit Group Of 1 + ?(G)?(A) -- Graded Identities And Induced Gradings On Group Algebras -- Endo - Distributive And Endo - Bezout Modules
ISBN:9781461302353
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 555
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Matrix theory , Nonassociative rings , Mathematics , Algebra , Associative Rings and Algebras , Non-associative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Category Theory, Homological Algebra
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Call number:SPRINGER-2002-9789401732673:ONLINE Show nearby items on shelf
Title:The Concise Handbook of Algebra
Author(s): Alexander V Mikhalev
Date:2002
Size:1 online resource (618 p.)
Note:10.1007/978-94-017-3267-3
Contents:A Semigroups -- B Groups -- C Rings, Modules, Algebras -- D Fields -- E Representation Theory -- F Lattices -- G Universal Algebra -- H Homological Algebra -- I Miscellaneous -- About the Authors
ISBN:9789401732673
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Field theory (Physics) , Nonassociative rings , Mathematics , Algebra , Field Theory and Polynomials , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-2002-9789401002493:ONLINE Show nearby items on shelf
Title:Topological Rings Satisfying Compactness Conditions
Author(s): Mihail Ursul
Date:2002
Size:1 online resource (327 p.)
Note:10.1007/978-94-010-0249-3
Contents:1. Elements of topological groups -- 1. The definition of a topological group -- 2. Neighborhoods of elements of a topological group -- 3. Subgroups of a topological group -- 4. Morphisms and quotients of topological groups -- 5. The
axioms of separation in topological groups -- 6. Initial topologies. Products of topological groups -- 7. The co-product topology on the algebraic direct sum -- 8. Semi-direct products of topological groups -- 9. The embedding of
totally bounded groups in pseudo-compact ones -- 10. Metrization of topological groups -- 11. The connected component of a topological group -- 12. Quasi-components of topological groups -- 13. Complete topological groups -- 14.
Minimal topological groups -- 15. Free topological groups -- 16. The finest precompact topology on an Abelian group -- 17. Ordered topological groups -- 18. Topological groups of the second category -- 19. Inverse limits of topological
groups -- 2. Topological rings -- 1. The notion of a topological ring -- 2. Neighborhoods of zero of a topological ring -- 3. Subrings of topological rings -- 4. Compact right topological rings -- 5. The local structure of locally
compact rings -- 6. Structure of compact rings -- 7. The separated completion of a topological ring -- 8. Trivial extensions -- 9. Nil and nilpotence in the class of locally compact rings -- 10. The Wedderburn-Mal’cev theorem for
compact rings -- 11. Topological products of primary compact rings -- 12. Zero divisors in topological rings -- 13. The group of units of a topological ring -- 14. Boundedness in locally compact rings -- 15. Simple topological rings --
16. Homological dimension of a compact ring -- 17. Local direct sums of locally compact rings -- 18. Radicals in the class of locally compact rings -- 19. Endc(RM) -- 20. Locally compact division rings -- 21. Non-metrizable compact
domains -- 22. Open subrings of topological division rings -- 23. Tensor products of compact rings -- 24. Pseudo-compact topologies on the ring of polynomials -- 25. The Lefschetz duality -- 26. The uniqueness of compact ring
topologies -- 27. Totally bounded topological rings -- 28. Representations of locally compact rings -- 29. Open questions in topological groups and rings
ISBN:9789401002493
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 549
Keywords: Mathematics , Associative rings , Rings (Algebra) , Group theory , Nonassociative rings , Topological groups , Lie groups , Algebraic topology , Mathematics , Associative Rings and Algebras , Algebraic Topology , Topological Groups, Lie Groups , Group Theory and Generalizations , Non-associative Rings and Algebras
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Call number:SPRINGER-2002-9780306471346:ONLINE Show nearby items on shelf
Title:Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces
Author(s): Abraham A Ungar
Date:2002
Size:1 online resource (464 p.)
Note:10.1007/0-306-47134-5
Contents:Thomas Precession: The Missing Link -- Gyrogroups: Modeled on Einstein’S Addition -- The Einstein Gyrovector Space -- Hyperbolic Geometry of Gyrovector Spaces -- The Ungar Gyrovector Space -- The MÖbius Gyrovector Space --
Gyrogeometry -- Gyrooprations — the SL(2, c) Approach -- The Cocycle Form -- The Lorentz Group and its Abstraction -- The Lorentz Transformation Link -- Other Lorentz Groups
ISBN:9780306471346
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics : 117
Keywords: Physics , Nonassociative rings , Rings (Algebra) , Geometry , Observations, Astronomical , Astronomy , Physics , Theoretical, Mathematical and Computational Physics , Astronomy, Observations and Techniques , Non-associative Rings and Algebras , Geometry
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Call number:SPRINGER-2001-9789401091220:ONLINE Show nearby items on shelf
Title:Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession The Theory of Gyrogroups and Gyrovector Spaces
Author(s): Abraham A Ungar
Date:2001
Size:1 online resource (419 p.)
Note:10.1007/978-94-010-9122-0
Contents:1. Thomas Precession: The Missing Link -- 2. Gyrogroups: Modeled on Einstein’s Addition -- 3. The Einstein Gyrovector Space -- 4. Hyperbolic Geometry of Gyrovector Spaces -- 5. The Ungar Gyrovector Space -- 6. The Möbius Gyrovector
Space -- 7. Gyrogeometry -- 8. Gyrooperations — The SL(2, C) Approach -- 9. The Cocycle Form -- 10.The Lorentz Group and Its Abstraction -- 11.The Lorentz Transformation Link -- 12.Other Lorentz Groups -- 13.References -- About the
Author -- Topic Index -- Author Index
ISBN:9789401091220
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 117
Keywords: Physics , Nonassociative rings , Rings (Algebra) , Observations, Astronomical , Astronomy , Physics , Theoretical, Mathematical and Computational Physics , Astronomy, Observations and Techniques , Non-associative Rings and Algebras
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Call number:SPRINGER-2001-9789401009546:ONLINE Show nearby items on shelf
Title:Near-Rings and Near-Fields Proceedings of the Conference on Near-Rings and Near-Fields, Stellenbosch, South Africa, July 9–16, 1997
Author(s):
Date:2001
Size:1 online resource (201 p.)
Note:10.1007/978-94-010-0954-6
Contents:Invited talks -- Combinatorial aspects of nearring theory To the memory of JAMES RAY CLAY -- Left self-distributive rings and nearrings -- On the development of matrix nearrings and related nearrings over the past decade --
Contributed papers -- The use of computers in near-ring theory -- Some results on derivations in nearrings -- Weakly divisible nearrings: genesis, construction and their links with designs -- On semi-endomorphisms of abelian groups --
A note on pseudo-distributivity in group near-rings -- The almost nilpotent radical for near rings -- Polynomial near-rings in several variables -- s-primitive ideals in matrix near-rings -- Essential ideals and R-subgroups in
near-rings -- Conditions that MA(G) is a ring -- On dependence and independence in near-rings -- On modules of homogeneous mappings -- The number of isomorphism classes of d.g. near-rings on the generalized quaternion groups -- When is
a centralizer near-ring isomorphic to a matrix near-ring? Part 2 -- Topology and primary N-groups -- On the radicals of composition near-rings
ISBN:9789401009546
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Computer science , Associative rings , Rings (Algebra) , Algebra , Field theory (Physics) , Nonassociative rings , Mathematics , Associative Rings and Algebras , Discrete Mathematics in Computer Science , Numeric Computing , Field Theory and Polynomials , Non-associative Rings and Algebras
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Call number:SPRINGER-2000-9789401731966:ONLINE Show nearby items on shelf
Title:Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
Author(s): I. S Krasil’ shchik
Date:2000
Size:1 online resource (384 p.)
Note:10.1007/978-94-017-3196-6
Contents:1. Classical symmetries -- 2. Higher symmetries and conservation laws -- 3. Nonlocal theory -- 4. Brackets -- 5. Deformations and recursion operators -- 6. Super and graded theories -- 7. Deformations of supersymmetric equations -- 8.
Symbolic computations in differential geometry
ISBN:9789401731966
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 507
Keywords: Mathematics , Numerical analysis , Category theory (Mathematics) , Homological algebra , Nonassociative rings , Rings (Algebra) , Partial differential equations , Differential geometry , Mathematics , Non-associative Rings and Algebras , Category Theory, Homological Algebra , Partial Differential Equations , Differential Geometry , Numeric Computing
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Call number:SPRINGER-2000-9789401595261:ONLINE Show nearby items on shelf
Title:Pfaffian Systems, k-Symplectic Systems
Author(s): Azzouz Awane
Date:2000
Size:1 online resource (240 p.)
Note:10.1007/978-94-015-9526-1
Contents:1 Exterior Forms -- 2 Exterior Systems -- 3 k-Symplectic Exterior Systems -- 4 Pfaffian Systems -- 5 Classification of Pfaffian Systems -- 6 k-Symplectic Manifolds -- 7 k-Symplectic Affine Manifolds -- 8 Homogeneous k-Symplectic
G-Spaces -- 9 Geometric Pre-Quantization
ISBN:9789401595261
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Applied mathematics , Engineering mathematics , Differential geometry , Statistical physics , Dynamical systems , Mathematics , Differential Geometry , Statistical Physics, Dynamical Systems and Complexity , Applications of Mathematics , Non-associative Rings and Algebras
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Call number:SPRINGER-2000-9789401140546:ONLINE Show nearby items on shelf
Title:The Theory of Classes of Groups
Author(s): Guo Wenbin
Date:2000
Size:1 online resource (258 p.)
Note:10.1007/978-94-011-4054-6
Contents:1 Fundamentals of the Theory of Finite Groups -- §1.1 Basic Concepts -- §1.2 Homomorphism Theorems -- §1.3 Primary Groups -- §1.4 Sylow’s Theorems -- §1.5 Automorphism Groups and Semidirect Products -- §1.6 The Jordan-Hölder Theorem
-- §1.7 Soluble Groups and ?-soluble Groups -- §1.8 Nilpotent Groups and ?-nilpotent Groups -- §1.9 Supersoluble Groups and ?-supersoluble Groups -- §1.10 Some Additional Information -- 2 Classical F-Subgroups -- §2.1 Operations on
Classes of Finite Groups -- §2.2 X-covering Subgroups, X-projectors, X-injectors -- §2.3 Theorems about Existence of F-covering Subgroups and F-projectors -- §2.4 The conjugacy of F-covering Subgroups -- §2.5 The Existence amd
Conjugacy of F-injectors -- §2.6 .F-normalizers -- §2.7 Some Additional Information -- 3 Formation Structures of Finite Groups -- §3.1 Methods of Constructing Local Formations -- §3.2 The Stability of Formations -- §3.3 On Complements
of F-coradicals -- §3.4 Minimal Non-F-groups -- §3.5 Š-formations -- §3.6 Groups with Normalizers of Sylow Subgroups Belonging to a Given Formation -- §3.7 Groups with Normalizers of Sylow Subgroups Complemented -- §3.8 Groups with
Normalizers of Sylow Subgroups Having Given Indices -- §3.9 Groups with Given Local Subgroups -- §3.10 F-subnormal Subgroups -- §3.11 Some Additional Information -- 4 Algebra of Formations -- §4.1 Free Groups and Varieties of Groups --
§4.2 Generated Formations -- §4.3 Critical Formations -- §4.4 Local Formations with Complemented Subformations -- §4.5 Some Additional Information -- 5 Supplementary Information on Algebra and Theory of Sets -- §5.1 Partially Ordered
Sets and Lattices -- §5.2 Classical Algebras -- §5.3 Modules over Algebras -- Index of Subjects -- List of Symbols
ISBN:9789401140546
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 505
Keywords: Mathematics , Chemometrics , Group theory , Nonassociative rings , Rings (Algebra) , Algebra , Ordered algebraic structures , Applied mathematics , Engineering mathematics , Mathematical logic , Mathematics , Group Theory and Generalizations , Non-associative Rings and Algebras , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations , Applications of Mathematics , Math. Applications in Chemistry
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Call number:SPRINGER-1999-9789401146791:ONLINE Show nearby items on shelf
Title:Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations
Author(s): Constantin Vârsan
Date:1999
Size:1 online resource (243 p.)
Note:10.1007/978-94-011-4679-1
Contents:1 Gradient Systems in a Lie Algebra -- 1.1 Preliminaries -- 1.2 Gradient systems in Fn and Der (Rn) -- 1.3 Gradient Systems Determined by a Lie Algebra -- 2 Representation of a Gradient System -- 2.1 Finite-Dimensional Lie Algebra --
2.2 The Maximal Rank Lie Algebra -- 2.3 Integral Manifolds -- 2.4 Some applications -- 3 F. G. O. Lie Algebras -- 3.1 Lie algebras finitely generated over orbits -- 3.2 Nonsingularity of the gradient system -- 3.3 Some Applications --
4 Applications -- 4.1 Systems of Semiliniar Equations -- 4.2 Stochastic Differential Equations -- 4.3 Systems of Hyperbolic equations -- 4.4 Finite-Dimensional Nonlinear Filters -- 4.5 Affine Control Systems -- 4.6 Integral
Representation of Solutions -- 4.7 Decomposition of affine control systems -- 5 Stabilization and Related Problems -- 5.1 Equivalent Controllable Systems -- 5.2 Approximations, Small Controls -- 5.3 Nonlinear Control Systems -- 5.4
Stabilization of Affine Control Systems -- 5.5 Controlled Invariant Lie Algebras -- 5.6 Stochastic differential equations
ISBN:9789401146791
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 466
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Partial differential equations , Applied mathematics , Engineering mathematics , System theory , Probabilities , Mathematics , Non-associative Rings and Algebras , Probability Theory and Stochastic Processes , Partial Differential Equations , Systems Theory, Control , Applications of Mathematics
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Call number:SPRINGER-1999-9783540487883:ONLINE Show nearby items on shelf
Title:Elliptic Genera and Vertex Operator Super-Algebras
Author(s): Hirotaka Tamanoi
Date:1999
Size:1 online resource (396 p.)
Note:10.1007/BFb0092541
Contents:and summary of results -- Elliptic genera -- Vertex operator super algebras -- G-invariant vertex operator super subalgebras -- Geometric structure in vector spaces and reduction of structure groups on manifolds -- Infinite
dimensional symmetries in elliptic genera for Kähler manifolds
ISBN:9783540487883
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1704
Keywords: Mathematics , Algebra , Nonassociative rings , Rings (Algebra) , Algebraic topology , Physics , Mathematics , Algebra , Algebraic Topology , Non-associative Rings and Algebras , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1999-9783540484028:ONLINE Show nearby items on shelf
Title:The Minnesota Notes on Jordan Algebras and Their Applications
Author(s): Max Koecher
Date:1999
Size:1 online resource (184 p.)
Note:10.1007/BFb0096285
Contents:Domains of Positivity -- Omega Domains -- Jordan Algebras -- Real and Complex Jordan Algebras -- Complex Jordan Algebras -- Jordan Algebras and Omega Domains -- Half-Spaces -- Appendix: The Bergman kernel function
ISBN:9783540484028
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1710
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Functions of complex variables , Mathematics , Topological Groups, Lie Groups , Several Complex Variables and Analytic Spaces , Non-associative Rings and Algebras
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Call number:SPRINGER-1999-9783540482840:ONLINE Show nearby items on shelf
Title:Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
Author(s): Niels Schwartz
Date:1999
Size:1 online resource (279 p.)
Note:10.1007/BFb0093968
Contents:Preordered and partially ordered rings -- Reflective subcategories -- Totally ordered and real closed fields -- Real spectra of preordered rings -- Epimorphisms of reduced porings -- Functions and representable porings --
Semi-algebraic functions -- Comparing reflectors -- Constructing reflectors -- H-closed epireflectors -- Quotient-closed reflectors -- The real closure reflector -- Arities of reflectors and approximations by H-closed reflectors --
Epimorphic extensions of reduced porings -- Essential monoreflectors -- Reflections of totally ordered fields -- von Neumann regular f-rings -- Totally ordered domains -- Reduced f-rings -- Rings of continuous piecewise polynomial
functions -- Rings of continuous piecewise rational functions -- Discontinuous semi-algebraic functions -- The lattice of H-closed monoreflectors
ISBN:9783540482840
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1712
Keywords: Mathematics , Algebra , Algebraic geometry , Nonassociative rings , Rings (Algebra) , Geometry , Number theory , Mathematics , Algebra , Number Theory , Geometry , Algebraic Geometry , Non-associative Rings and Algebras
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Call number:SPRINGER-1998-9789401591317:ONLINE Show nearby items on shelf
Title:Representation Theories and Algebraic Geometry
Author(s):
Date:1998
Size:1 online resource (444 p.)
Note:10.1007/978-94-015-9131-7
Contents:Equivariant cohomology and equivariant intersection theory -- Lectures on decomposition classes -- Instantons and Kähler geometry of nilpotent orbits -- Geometric methods in the representation theory of Hecke algebras and quantum
groups -- Representations of Lie algebras in prime characteristic -- Sur l’annulateur d’un module de Verma -- Some remarks on multiplicity free spaces -- Standard Monomial Theory and applications -- Canonical bases and Hall algebras --
Combinatorics of Harish-Chandra modules -- Schubert varieties and generalizations
ISBN:9789401591317
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nato ASI Series, Series C: Mathematical and Physical Sciences: 514
Keywords: Mathematics , Algebraic geometry , Group theory , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Mathematics , Group Theory and Generalizations , Algebraic Geometry , Topological Groups, Lie Groups , Non-associative Rings and Algebras
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Call number:SPRINGER-1998-9789401590976:ONLINE Show nearby items on shelf
Title:Introduction to Vertex Operator Superalgebras and Their Modules
Author(s): Xiaoping Xu
Date:1998
Size:1 online resource (360 p.)
Note:10.1007/978-94-015-9097-6
Contents:1 Self-Dual Codes -- 2 Self-Dual Lattices -- 3 Definitions and General Properties -- 4 Conformal Superalgebras, Affine Kac-Moody Algebras and KZ Equations -- 5 Analogue of the Highest-Weight Theory -- 6 Lattice Vertex Operator
Superalgebras -- 7 VOSAs Generated by Their Subspaces of Small Weights
ISBN:9789401590976
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 456
Keywords: Mathematics , Computer science , Associative rings , Rings (Algebra) , Nonassociative rings , Algebra , Ordered algebraic structures , Elementary particles (Physics) , Quantum field theory , Mathematics , Non-associative Rings and Algebras , Elementary Particles, Quantum Field Theory , Order, Lattices, Ordered Algebraic Structures , Discrete Mathematics in Computer Science , Associative Rings and Algebras
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Call number:SPRINGER-1998-9789401153089:ONLINE Show nearby items on shelf
Title:Algebraic Groups and their Representations
Author(s):
Date:1998
Size:1 online resource (374 p.)
Note:10.1007/978-94-011-5308-9
Contents:Linear and nonlinear group actions, and the Newton Institute program -- Tilting modules for algebraic groups -- Semisimplicity in positive characteristic -- Homology bases arising from reductive groups over a finite field -- Highest
weight modules associated to parabolic subgroups with commutative unipotent radicals -- Symmetric groups and Schur algebras -- Branching rules for symmetric groups and applications -- Endomorphism algebras and representation theory --
Representations of simple Lie algebras: modern variations on a classical theme -- The path model, the quantum Frobenius map and standard monomial theory -- Arithmetical properties of blocks -- The isomorphism and isogeny theorems for
reductive algebraic groups -- Double cosets in algebraic groups -- Dense orbits and double cosets -- Subgroups of exceptional groups -- Overgroups of special elements in simple algebraic groups and finite groups of Lie type -- Some
applications of subgroup structure to probabilistic generation and covers of curves -- Quasithin groups -- Tame groups of odd and even type
ISBN:9789401153089
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 517
Keywords: Mathematics , Group theory , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Mathematics , Topological Groups, Lie Groups , Group Theory and Generalizations , Non-associative Rings and Algebras
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Call number:SPRINGER-1998-9789401152587:ONLINE Show nearby items on shelf
Title:Lie Groups and Lie Algebras Their Representations, Generalisations and Applications
Author(s):
Date:1998
Size:1 online resource (447 p.)
Note:10.1007/978-94-011-5258-7
Contents:I: Quantum Mathematics -- Dual Quasitriangular Structures Related to the Temperley-Lieb Algebra -- On the Quantization of Quadratic Poisson Brackets on a Polynomial Algebra of Four Variables -- Two Types of Poisson Pencils and Related
Quantum Objects -- Wave Packet Transform in Symplectic Geometry and Asymptotic Quantization -- On Quantum Methods in the Classical Theory of Representations -- II: Hypergroups -- Multivalued Groups, n-Hopf Algebras and n-ring
Homomorphisms -- Hypergroups and Differential Equations -- The Haar Measure On Locally Compact Hypergroups -- Laguerre Hypergroup and Limit Theorem -- The Representation of the Reproducing Kernel in Orthogonal Polynomials on Several
Intervals -- III: Homogenious Spaces And Lie Algebras and Superalgebras -- Homology Invariants of Homogeneous Complex Manifolds -- Micromodules -- A Spectral Sequence for the Tangent Sheaf Cohomology of a Supermanifold -- On a Duality
of Varieties of Representations of Ternary Lie and Super Lie Systems -- Various Aspects and Generalizations of the Godbillon-Vey Invariant -- Volume of Bounded Symmetric Domains and Compactification of Jordan Triple Systems -- IV:
Representations -- Asymptotic Behavior of the Poisson Transform on a hyperboloid of one sheet -- Maximal Degenerate Representations, Berezin Kernels and Canonical Representations -- Asymptotic Representation of Discrete Groups --
Maximal Degenerate Series Representations of the Universal Covering of the Group SU(n, n) -- Almost Representations and Quasi-Symmetry -- V: Differential Equations -- Orbital Isomorphism between Two Classical Integrable Systems --
Noncommutative Deformation of the KP Hierarchy and the Universal Grassmann Manifold -- Symmetries of Completely Integrable Distributions -- Algebras with Flat Connections and Symmetries of Differential Equations -- On the Geometry of
Current Groups and a Model of the Landau-Lifschitz Equation -- Change Variable Formulas for Gaussian Integrals over Spaces of Paths in Compact Riemannian Manifolds
ISBN:9789401152587
Series:eBooks
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Series:Mathematics and Its Applications : 433
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Partial differential equations , Applied mathematics , Engineering mathematics , Mathematics , Non-associative Rings and Algebras , Topological Groups, Lie Groups , Global Analysis and Analysis on Manifolds , Partial Differential Equations , Applications of Mathematics
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Call number:SPRINGER-1998-9789401152068:ONLINE Show nearby items on shelf
Title:Convex and Starlike Mappings in Several Complex Variables
Author(s): Sheng Gong
Date:1998
Size:1 online resource (209 p.)
Note:10.1007/978-94-011-5206-8
Contents:I Criteria for starlikeness for holomorphic mappings -- II Criteria for convexity for holomorphic mappings -- III The growth theorem for holomorphic starlike mappings -- IV The growth theorem for holomorphic convex mappings -- V The
distortion theorem for the linearinvariant family -- VI The distortion theorem for holomorphic convex and starlike mappings -- VII The geometrical properties for holomorphic convex mappings on the unit ball -- References -- List of
symbols
ISBN:9789401152068
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 435
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Functions of complex variables , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Several Complex Variables and Analytic Spaces , Functions of a Complex Variable , Differential Geometry , Convex and Discrete Geometry , Non-associative Rings and Algebras
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Call number:SPRINGER-1998-9789401150729:ONLINE Show nearby items on shelf
Title:Algebra and Operator Theory Proceedings of the Colloquium in Tashkent, 1997
Author(s):
Date:1998
Size:1 online resource (250 p.)
Note:10.1007/978-94-011-5072-9
Contents:On Leibniz Algebras -- A Moduli Problem Related to Complex Supermanifolds -- Comparaison de l’Homologie de Hochschild et de l’Homologie de Poisson pour une déformation des surfaces de Klein -- Quelques résultats en K-Théorie réelle --
Some Nilpotent Lie Algebras and its Applications -- Algèbres de Lie rigides -- Family of p-Filiform Lie Algebras -- The Functional Representation of Commutative Symmetric Operator Algebras in Pontryagin Space -- Continuous
Decomposition of Real Von Neumann Algebras of Type III -- Espaces vectoriels différentiels -- Complétude de l’équation d’Euler -- On Invariants of Second Order Linear Partial Differential Equations in two Variables -- Lattice-Ordered
Groupoids and their Prime Spectrums -- Sur un problème d’Elie Cartan -- Classification of Non-Commutative Arens Algebras Associated with Semi-Finite Traces -- Order Unit Space of Type In with Banach Ball Property -- On Markov Random
Fields on UHF Algebras -- Injectivity, Amenability, Semi Discreteness and Hyperfiniteness in Real W*-Algebras -- Contractive Projections on Facially Symmetric Spaces -- The Property (t?) for Locally Compact Connected groups -- Grupos
Cuánticos -- On the Group of Weak Automorphisms of a Family of Equivalence Relations
ISBN:9789401150729
Series:eBooks
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Keywords: Mathematics , Algebraic geometry , Nonassociative rings , Rings (Algebra) , Operator theory , Differential geometry , Physics , Mathematics , Non-associative Rings and Algebras , Operator Theory , Algebraic Geometry , Differential Geometry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1998-9783642619700:ONLINE Show nearby items on shelf
Title:Jordan Algebras and Algebraic Groups
Author(s): Tonny A Springer
Date:1998
Size:1 online resource (173 p.)
Note:10.1007/978-3-642-61970-0
Contents:§ 0. Preliminaries -- § 1. J-structures -- § 2. Examples -- § 3. The Quadratic Map of a J-structure -- § 4. The Lie Algebras Associated with a J-structure -- § 5. J-structures of Low Degree -- § 6. Relation with Jordan Algebras
(Characteristic ? 2) -- § 7. Relation with Quadratic Jordan Algebras -- § 8. The Minimum Polynomial of an Element -- § 9. Ideals, the Radical -- §10. Peirce Decomposition Defined by an Idempotent Element -- §11. Classification of
Certain Algebraic Groups -- §12. Strongly Simple J-structures -- §13. Simple J-structures -- §14. The Structure Group of a Simple J-structure and the Related Lie Algebras -- §15. Rationality Questions
ISBN:9783642619700
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Classics in Mathematics: 75
Keywords: Mathematics , Group theory , Nonassociative rings , Rings (Algebra) , Mathematics , Non-associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-1998-9783540692317:ONLINE Show nearby items on shelf
Title:Factorizable Sheaves and Quantum Groups
Author(s): Roman Bezrukavnikov
Date:1998
Size:1 online resource (290 p.)
Note:10.1007/BFb0092343
Contents:Acknowledgement -- Overview -- Intersection cohomology of real arrangements -- Configuration spaces and quantum groups -- Tensor categories arising from configuration spaces -- Localization on ?1 -- Modular structure on the category
ISBN:9783540692317
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1691
Keywords: Mathematics , Algebraic geometry , Nonassociative rings , Rings (Algebra) , Differential geometry , Topology , Algebraic topology , Quantum physics , Mathematics , Algebraic Geometry , Differential Geometry , Topology , Non-associative Rings and Algebras , Algebraic Topology , Quantum Physics
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Call number:SPRINGER-1997-9789401586054:ONLINE Show nearby items on shelf
Title:Jordan, Real and Lie Structures in Operator Algebras
Author(s): Shavkat Ayupov
Date:1997
Size:1 online resource (230 p.)
Note:10.1007/978-94-015-8605-4
Contents:Preliminaries -- 1: Jordan Operator Algebras -- 2: Real Structure in W*-Algebras -- 3: Lie Structure in Operator Algebras -- References
ISBN:9789401586054
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 418
Keywords: Mathematics , Associative rings , Rings (Algebra) , Nonassociative rings , Functional analysis , Operator theory , Applied mathematics , Engineering mathematics , Mathematics , Functional Analysis , Operator Theory , Non-associative Rings and Algebras , Associative Rings and Algebras , Applications of Mathematics
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Call number:SPRINGER-1997-9789401157681:ONLINE Show nearby items on shelf
Title:Quaternions and Cayley Numbers Algebra and Applications
Author(s): J. P Ward
Date:1997
Size:1 online resource (242 p.)
Note:10.1007/978-94-011-5768-1
Contents:1 Fundamentals of Linear Algebra -- 1.1 Integers, Rationals and Real Numbers -- 1.2 Real Numbers and Displacements -- 1.3 Groups -- 1.4 Rings and Fields -- 1.5 Linear Spaces -- 1.6 Inner Product Spaces -- 1.7 Algebras -- 1.8 Complex
Numbers -- 2 Quaternions -- 2.1 Inventing Quaternions -- 2.2 Quaternion Algebra -- 2.3 The Exponential Form and Root Extraction -- 2.4 Frobenius’ Theorem -- 2.5 Inner Product for Quaternions -- 2.6 Quaternions and Rotations in 3- and
4-Dimensions -- 2.7 Relation to the Rotation Matrix -- 2.8 Matrix Formulation of Quaternions -- 2.9 Applications to Spherical Trigonometry -- 2.10 Rotating Axes in Mechanics -- 3 Complexified Quaternions -- 3.1 Scalars, Pseudoscalars,
Vectors and Pseudovectors -- 3.2 Complexified Quaternions: Euclidean Metric -- 3.3 Complexified Quaternions: Minkowski Metric -- 3.4 Application of Complexified Quaternions to Space-Time -- 3.5 Quaternions and Electromagnet ism -- 3.6
Quaternionic Representation of Bivectors -- 3.7 Null Tetrad for Space-time -- 3.8 Classification of Complex Bivectors and of the Weyl Tensor -- 4 Cayley Numbers -- 4.1 A Common Notation for Numbers -- 4.2 Cayley Numbers -- 4.3 Angles
and Cayley Numbers -- 4.4 Cayley Number Identities -- 4.5 Normed Algebras and the Hurwitz Theorem -- 4.6 Rotations in 7-and 8-Dimensional Euclidean Space -- 4.7 Basis Elements for Cayley Numbers -- 4.8 Geometry of 8-Dimensional
Rotations -- Appendix 1 Clifford Algebras -- Appendix 2 Computer Algebra and Cayley Numbers -- References
ISBN:9789401157681
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 403
Keywords: Mathematics , Associative rings , Rings (Algebra) , Matrix theory , Algebra , Nonassociative rings , Applied mathematics , Engineering mathematics , Physics , Mathematics , Associative Rings and Algebras , Non-associative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Theoretical, Mathematical and Computational Physics , Applications of Mathematics
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Call number:SPRINGER-1997-9789400914810:ONLINE Show nearby items on shelf
Title:Nearrings, Nearfields and K-Loops Proceedings of the Conference on Nearrings and Nearfields, Hamburg, Germany, July 30–August 6,1995
Author(s):
Date:1997
Size:1 online resource (450 p.)
Note:10.1007/978-94-009-1481-0
Contents:Invited Addresses -- From nearrings and nearfields to K-Loops -- On non-zerosymmetric near-rings with minimum condition -- Near-rings of homogeneous functions, P3 -- The structure of ?-groups -- Ordered nearfields -- Contributed
Papers -- Strongly idempotent seminearrings and their prime ideal spaces -- A note on simple composition rings -- The cardinalities of the endomorphism near-rings I(G), A(G), and E(G) for all groups G with |G| ? 31 -- Polynomial
near-rings: Polynomials with coefficients from a near-ring -- On derivations in near-rings, II -- Near-rings and rings generated by homomorphisms on groups -- Special radicals of ?-groups -- Quasi-ideals and bi-ideals in categories --
Seminearrings of polynomials over semifields: A note on Blackett’s Fredericton paper -- Circles and their interior points from field generated Ferrero pairs -- On direct decompositions in group near-rings -- On involution sets induced
by neardomains -- Superprime near-rings -- Involutions on universal algebras -- Fibered incidence loops by neardomains -- The structure group of certain K-Loops -- Some examples of indecomposable modules -- Central Bol loops --
Products on products on groups -- Topological N-groups where the nearrings are real nearrings -- Tensor product of near-ring modules -- Nilpotence and endomorphism near-rings -- Distributively generated subrings of homogeneous maps --
Composition near-rings -- Categories of near-rings -- The inner automorphism nearrings I(G) on all Nonabelian Groups G of Order |G| ? 100 -- Special quasigroups and Steiner systems -- On the non-simplicity of a subring of M(G) --
Near-rings in connection with non-abelian cohomology of groups -- On the salient properties of near-ring radicals
ISBN:9789400914810
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 426
Keywords: Mathematics , Algebra , Group theory , Nonassociative rings , Rings (Algebra) , Geometry , Mathematical logic , Combinatorics , Mathematics , Algebra , Mathematical Logic and Foundations , Non-associative Rings and Algebras , Group Theory and Generalizations , Combinatorics , Geometry
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Call number:SPRINGER-1996-9789401724326:ONLINE Show nearby items on shelf
Title:Nilpotent Lie Algebras
Author(s): Michel Goze
Date:1996
Size:1 online resource (336 p.)
Note:10.1007/978-94-017-2432-6
ISBN:9789401724326
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 361
Keywords: Mathematics , Algebraic geometry , Nonassociative rings , Rings (Algebra) , Differential geometry , Mathematics , Non-associative Rings and Algebras , Differential Geometry , Algebraic Geometry
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Call number:SPRINGER-1996-9789400901575:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume III: Representations of Lie Groups
Author(s): Philip Feinsilver
Date:1996
Size:1 online resource (230 p.)
Note:10.1007/978-94-009-0157-5
Contents:I. General remarks -- II. Notations -- III. Lie algebras: some basics -- 1 Operator calculus and Appell systems -- I. Boson calculus -- II. Holomorphic canonical calculus -- III. Canonical Appell systems -- 2 Representations of Lie
groups -- I. Coordinates on Lie groups -- II. Dual representations -- III. Matrix elements -- IV. Induced representations and homogeneous spaces -- 3 General Appell systems -- I. Convolution and stochastic processes -- II. Stochastic
processes on Lie groups -- III. Appell systems on Lie groups -- 4 Canonical systems in several variables -- I. Homogeneous spaces and Cartan decompositions -- II. Induced representation and coherent states -- III. Orthogonal
polynomials in several variables -- 5 Algebras with discrete spectrum -- I. Calculus on groups: review of the theory -- II. Finite-difference algebra -- III. q-HW algebra and basic hypergeometric functions -- IV. su2 and Krawtchouk
polynomials -- V. e2 and Lommel polynomials -- 6 Nilpotent and solvable algebras -- I. Heisenberg algebras -- II. Type-H Lie algebras -- III. Upper-triangular matrices -- IV. Affine and Euclidean algebras -- 7 Hermitian symmetric
spaces -- I. Basic structures -- II. Space of rectangular matrices -- III. Space of skew-symmetric matrices -- IV. Space of symmetric matrices -- 8 Properties of matrix elements -- I. Addition formulas -- II. Recurrences -- III.
Quotient representations and summation formulas -- 9 Symbolic computations -- I. Computing the pi-matrices -- II. Adjoint group -- III. Recursive computation of matrix elements -- IV. Symbolic computation of Appell systems -- MAPLE
output and procedures -- References
ISBN:9789400901575
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 347
Keywords: Mathematics , Computer science , Computers , Nonassociative rings , Rings (Algebra) , Integral transforms , Operational calculus , Operator theory , Special functions , Mathematics , Special Functions , Computer Science, general , Theory of Computation , Integral Transforms, Operational Calculus , Operator Theory , Non-associative Rings and Algebras
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Call number:SPRINGER-1995-9783642784002:ONLINE Show nearby items on shelf
Title:Quantum Groups and Their Primitive Ideals
Author(s): Anthony Joseph
Date:1995
Size:1 online resource (383 p.)
Note:10.1007/978-3-642-78400-2
Contents:I. Hopf Algebras -- 1.1 Axioms of a Hopf Algebra -- 1.2 Group Algebras and Enveloping Algebras -- 1.3 Adjoint Action -- 1.4 The Hopf Dual -- 1.5 Comments and Complements -- 2. Excerpts from the Classical Theory -- 2.1 Lie Algebras --
2.2 Algebraic Lie Algebras -- 2.3 Algebraic Groups -- 2.4 Lie Algebras of Algebraic Groups -- 2.5 Comments and Complements -- 3. Encoding the Cartan Matrix -- 3.1 Quantum Weyl Algebras -- 3.2 The Drinfeld Double -- 3.3 The Rosso Form
and the Casimir Invariant -- 3.4 The Classical Limit and the Shapovalev Form -- 3.5 Comments and Complements -- 4. Highest Weight Modules -- 4.1 The Jantzen Filtration and Sum Formula -- 4.2 Kac-Moody Lie Algebras -- 4.3 Integrable
Modules for Uq(gc) -- 4.4 Demazure Modules and Product Formulae -- 4.5 Comments and Complements -- 5. The Crystal Basis -- 5.1 Operators in the Crystal Limit -- 5.2 Crystals -- 5.3 Ad-invariant Filtrations, Twisted Actions and the
Crystal Basis for Uq(n-) -- 5.4 The Grand Loop -- 5.5 Comments and Complements -- 6. The Global Bases -- 6.1 The ? Operation and the Embedding Theorem -- 6.2 Globalization -- 6.3 The Demazure Property -- 6.4 Littelmann’s Path Crystals
-- 6.5 Comments and Complements -- 7. Structure Theorems for Uq(g) -- 7.1 Local Finiteness for the Adjoint Action -- 7.2 Positivity of the Rosso Form -- 7.3 The Separation Theorem -- 7.4 Noetherianity -- 7.5 Comments and Complements --
8. The Primitive Spectrum of Uq(g) -- 8.1 The Poincaré Series of the Harmonic Space -- 8.2 Factorization of the Quantum PRV Determinants -- 8.3 Verma Module Annihilators -- 8.4 Equivalence of Categories -- 8.5 Comments and Complements
-- 9. Structure Theorems for Rq[G] -- 9.1 Commutativity Relations -- 9.2 Surjectivity and Injectivity Theorems -- 9.3 The Adjoint Action -- 9.4 The R-Matrix -- 9.5 Comments and Complements -- 10. The Prime Spectrum of Rq[G] -- 10.1
Highest Weight Modules -- 10.2 The Quantum Weyl Group -- 10.3 Prime and Primitive Ideals of Rq[G] -- 10.4 Hopf Algebra Automorphisms -- 10.5 Comments and Complements -- A.2 Excerpts from Ring Theory -- A.3 Combinatorial Identities and
Dimension Theory -- A.4 Remarks on Constructions of Quantum Groups -- A.5 Comments and Complements -- Index of Notation
ISBN:9783642784002
Series:eBooks
Series:SpringerLink (Online service)
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Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge A Series of Modern Surveys in Mathematics: 29
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Nonassociative rings , Topological groups , Lie groups , Physics , Mathematics , Non-associative Rings and Algebras , Associative Rings and Algebras , Topological Groups, Lie Groups , Algebraic Geometry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1994-9789401715560:ONLINE Show nearby items on shelf
Title:Finite Dimensional Algebras and Related Topics
Author(s):
Date:1994
Size:1 online resource (392 p.)
Note:10.1007/978-94-017-1556-0
Contents:Equivalences of Blocks of Group Algebras -- On the Endomorphism Algebras of Gelfand-Graev Representations -- Harish-Chandra Vertices, Green Correspondence in Hecke Algebras, and Steinbergs Tensor Product Theorem in Nondescribing
Characteristic -- On Tilting Modules and Invariants for Algebraic Groups -- Harish-Chandra Subalgebras and Gelfand-Zetlin Modules -- Algebras Associated to Bruhat Intervals and Polyhedral Cones -- Symmetric Groups and Quasi-Hereditary
Algebras -- Quasitilted Algebras -- Tilting Theory and Differential Graded Algebras -- Wild Canonical Algebras and Rings of Automorphic Forms -- The Ext Algebra of a Highest Weight Category -- Coxeter transformations and the
representation theory of algebras -- Translation Functors and Equivalences of Derived Categories for Blocks of Algebraic Groups -- Blocks with cyclic defect (Green orders) -- Rigid and Exceptional Sheaves on a Del Pezzo Surface --
Quasihereditary algebras and Kazhdan-Lusztig theory -- Cycles in Module Categories -- Relative Homology -- Tilting Theory and Selfinjective Algebras
ISBN:9789401715560
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 424
Keywords: Mathematics , Algebra , Commutative algebra , Commutative rings , Nonassociative rings , Rings (Algebra) , Mathematics , Non-associative Rings and Algebras , Commutative Rings and Algebras , Algebra
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Call number:SPRINGER-1994-9789401582797:ONLINE Show nearby items on shelf
Title:Mutations of Alternative Algebras
Author(s): Alberto Elduque
Date:1994
Size:1 online resource (226 p.)
Note:10.1007/978-94-015-8279-7
Contents:I Nonassociative Algebras -- 1. Definitions and basic results -- 2. Simple and central simple algebras -- 3. Alternative algebras -- 4. Malcev-admissible algebras -- 5. Jordan-admissible algebras -- II Mutations of Associative
Algebras -- 1. Introduction -- 2. Identities in mutation algebras -- 3. Simple and prime mutation algebras -- 4. Mutations of simple associative algebras -- 5. Radicals of mutation algebras -- III Mutations of Alternative Algebras --
1. Introduction -- 2. Basic results -- 3. Identities -- 4. Mutations of Cayley-Dickson algebras -- 5. Simple and prime mutations of alternative algebras -- 6. Mutations of artinian alternative algebras -- IV Automorphisms and
Derivations -- 1. Introduction -- 2. Jordan homomorphisms and derivations -- 3. Automorphisms of mutations of associative algebras -- 4. Derivations of mutations of associative algebras -- 5. Composition algebras: The associative case
-- 6. Composition algebras: The octonion case -- V The Mutation Variety and Strict Representations -- 1. Basic concepts -- 2. Identities for the mutation variety -- 3. Additional properties of the mutation variety -- 4. Strict
representations of mutation algebras -- References -- Symbol Index
ISBN:9789401582797
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 278
Keywords: Mathematics , Associative rings , Rings (Algebra) , Matrix theory , Algebra , Nonassociative rings , Physics , Mechanics , Mathematics , Non-associative Rings and Algebras , Associative Rings and Algebras , Theoretical, Mathematical and Computational Physics , Linear and Multilinear Algebras, Matrix Theory , Mechanics
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Call number:SPRINGER-1994-9789401110785:ONLINE Show nearby items on shelf
Title:Noncompact Lie Groups and Some of Their Applications
Author(s):
Date:1994
Size:1 online resource (512 p.)
Note:10.1007/978-94-011-1078-5
Contents:1. Noncompact Lie groups, their algebras and some of their applications -- Lie Groups and Lie Algebras -- 2. Harish-Chandra’s c-function. A mathematical jewel -- 3. Basic harmonic analysis on pseudo-Riemannian symmetric spaces -- 4.
The extensions of space-time. Physics in the 8-dimensional homogeneous space D = SU(2, 2)/K -- 5. Ordinary — and momentum — space conformai compactifications: Some possible observable consequences -- 6. Radon transform on halfplanes
via group theory -- 7. Analytic torsion and automorphic forms -- 8. Diffusion on compact ultrametric spaces -- 9. Generalized square integrability and coherent states -- 10. Maximal abelian subgroups of SU(p, q) and integrable
Hamiltonian systems -- 11. Path integrals and Lie groups -- 12. Representations of diffeomorphism groups and the infinite symmetric group -- 13. Characters of Lie groups -- 14. Weyl group actions on Lagrangian cycles and Rossmann’s
formula -- 15. Taylor formula, tensor products, and unitarizability -- 16. A connection between Lie algebra roots and weights and the Fock space construction -- 17. Applications of Sp(3,R) in nuclear physics -- 18. Nilpotent groups and
anharmonic oscillators -- 19. Extensions of the mass O helicity O representation of the Poincare group -- 20. Invariant causal propagators in conformai space -- 21. Gauge groups, anomalies and non-abelian cohomology -- 22. The E8
family of quasicrystals -- 23. Wavelet interpolation and approximate solutions of elliptic partial differential equations -- Lie Superalgebras and Lie Supergroups -- 24. From super Lie algebras to supergroups: Matrix realizations and
the factorisation problem -- 25. Current algebras as Hilbert space operator cocycles -- 26. Non-linear realization technique — The most convenient way of deriving N = 1 supergravity -- 27. Toda systems as constrained linear systems --
Quantum Groups -- 28. On the definitions of the quantum group Uh(sl(2, k)) and the restricted dual of Uh(sl(n, k)) -- 29. Universal T-matrix for twisted quantum gl(N) -- 30. Unitary representations of quantum Lorentz group -- 31.
Contraction of quantum groups and lattice physics -- 32. A quantum Poincaré group and the Dirac-Coulomb problem
ISBN:9789401110785
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 429
Keywords: Mathematics , Group theory , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Physics , Mathematics , Topological Groups, Lie Groups , Group Theory and Generalizations , Non-associative Rings and Algebras , Global Analysis and Analysis on Manifolds , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1994-9789401109901:ONLINE Show nearby items on shelf
Title:Non-Associative Algebra and Its Applications
Author(s):
Date:1994
Size:1 online resource (416 p.)
Note:10.1007/978-94-011-0990-1
Contents:Malcev superalgebras -- The first Tits construction of Albert algebras over locally ringed spaces -- The identity (x2)2 = ?(x)x3 in baric algebras -- Cayley-Klein Lie algebras and their quantum universal enveloping algebras -- On
constructions of nonsolvable Lie algebras whose ideals are in chain -- Lie algebras graded by root systems -- Bernstein representations -- On free differentials on associative algebras -- On primitive Jordan Banach algebras --
Zel’manov’s theorem for nondegenerately ultraprime Jordan-Banach algebras -- Jordan H*-triple systems -- Prime alternative triple systems -- M-ideals of Schreier type and the Dunford-Pettis property -- Spectra of elements of a
nonassociative algebra -- Ranges of elements of a nonassociative algebra -- Coordinatization of Jordan algebras over locally ringed spaces -- Sur la décomposition de Peirce -- On transitive left-symmetric algebras -- Spectral study of
some topological Jordan algebras -- Representations of reduced enveloping algebras -- A cohomological characterization of solvable modular Lie algebras -- An extension of the Zel’manov-Goldie theorem -- On the unitarization of highest
weight representations for affine Kac-Moody algebras -- Cohn’s theorem for superalgebras -- On Bernstein algebras of n-th order -- On Bernstein algebras -- Realization of Lie algebras with polynomial vector fields -- Les algèbres de
Kac-Moody et l’homologie dièdrale -- Quadratic differential equations in graded algebras -- Projective double Lie algebras on a Lie algebra -- On derivation algebras of group algebras -- J-diviseurs topologiques de zéro dans une
algèbre de Jordan n.c. normée -- On Freudenthal-Kantor triple systems and generalized structurable algebras -- Hermitian Jordan triple systems and the automorphisms of bounded symmetric domains -- Quadratic differential equations on
graded structures -- A generalization of Novikov rings -- Automorphismes et dérivations dans les algèbres de Barker -- Lattice isomorphisms of Jordan algebras over arbitrary fields -- Multibaric algebras -- The Bernstein Problem in
mathematical genetics and Bernstein algebras -- Les algèbres de mutation -- Non associative graded algebras -- Tracial elements for nonassociative H*-algebras -- On lattice isomorphism of Bernstein algebras -- Bernstein algebras whose
lattice ideals is linear -- Local algebras -- Applications of fox differential calculus to free Lie superalgebras -- On the cohomology for the Witt algebra w(1,1) -- 3-graded Lie algebras and Jordan pairs -- Super-triple systems,
normal and classical Yang-Baxter equations -- A conjecture on locally Novikov algebras -- Coalgebra, cocomposition and cohomology -- Minimal polynomial identities of bark algebras -- On power associative composition algebras --
Enumeration and classification of Albert algebras: reduced models and the invariants mod 2 -- Composition algebras over open dense subschemes of curves of genus zero -- Simple Jordan superalgebras -- Absolute valued algebras of degree
two -- On a generalization of the Jordan inverse -- On geodesic loops of trans-symmetric space -- Quadratic systems, blow-up, and algebras -- Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras --
Duplicated algebras of algebras -- aux algèbres de Bernstein périodiques -- Randon Jordan derivations -- Randon derivations on H*-algebras -- Algebras of rank three -- Inner product characterizations of classical Cayley-Dickson
algebras -- Sur les ?-algèbras de Jordan non commutatives, de division, de dimension 8, possédant un automorphisme ou une dérivation non triviaux
ISBN:9789401109901
Series:eBooks
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Series:Mathematics and Its Applications : 303
Keywords: Mathematics , Associative rings , Rings (Algebra) , Nonassociative rings , Functional analysis , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Non-associative Rings and Algebras , Associative Rings and Algebras , Mathematical and Computational Biology , Applications of Mathematics , Functional Analysis
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Call number:SPRINGER-1994-9781475723151:ONLINE Show nearby items on shelf
Title:Division Algebras Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics
Author(s): Geoffrey M Dixon
Date:1994
Size:1 online resource (238 p.)
Note:10.1007/978-1-4757-2315-1
Contents:I Underpinnings -- II Division Algebras Alone -- III Tensor Algebras -- IV Connecting to Physics -- V Spontaneous Symmetry Breaking -- VI 10 Dimensions -- VII Doorways -- VIII Corridors
ISBN:9781475723151
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 290
Keywords: Mathematics , Matrix theory , Algebra , Nonassociative rings , Rings (Algebra) , Applied mathematics , Engineering mathematics , Nuclear physics , Heavy ions , Hadrons , Mathematics , Applications of Mathematics , Non-associative Rings and Algebras , Nuclear Physics, Heavy Ions, Hadrons , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1994-9780585280035:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science
Author(s): Philip Feinsilver
Date:1994
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource (150 p.)
Note:10.1007/978-0-585-28003-5
Contents:Basic Data Structures -- Data Structures & Orthogonal Polynomials -- Applications of Bessel Functions and Lommel Polynomials -- Fourier Transform on Finite Groups and Related Transforms -- Young Tableaux and Combinatorial Enumeration
in Parallel Processing
ISBN:9780585280035
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 292
Keywords: Mathematics , Computer science , Computers , Nonassociative rings , Rings (Algebra) , Integral transforms , Operational calculus , Operator theory , Special functions , Mathematics , Special Functions , Computer Science, general , Theory of Computation , Integral Transforms, Operational Calculus , Operator Theory , Non-associative Rings and Algebras
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Call number:SPRINGER-1993-9789401708395:ONLINE Show nearby items on shelf
Title:Basic Structures of Modern Algebra
Author(s): Yuri Bahturin
Date:1993
Size:1 online resource (422 p.)
Note:10.1007/978-94-017-0839-5
Contents:1. Commutative algebra -- 2. Groups -- 3. Associative rings -- 4. Lie algebras -- 5. Homological algebra -- 6. Algebraic groups -- 7. Varieties of algebras -- Set-theoretic supplement -- References -- Symbol index
ISBN:9789401708395
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 265
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Nonassociative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-1993-9789401119801:ONLINE Show nearby items on shelf
Title:Integrable Systems, Quantum Groups, and Quantum Field Theories
Author(s):
Date:1993
Size:1 online resource (502 p.)
Note:10.1007/978-94-011-1980-1
Contents:From Integrable Models to Conformal Field Theories via Quantum Groups -- A brief History of hidden Quantum Symmetries in Conformal Field Theories -- q-Deformation of Semisimple and Non-semisimple Lie Algebras -- Quantum Algebras and
Quantum Groups in q-special Function Theory -- Lectures in Topological Quantum Field Theory -- Canonical Quantun Gravity and the problem of time -- Higher Symmetries in Lower-dimensional Models -- Three Lectures on Supersymmetry and
Extended Objects -- The Geometric Phase in Quantum Physics -- Quantum Mechanics on Phase Space -- Lie groups and solutions of nonlinear partial differential equations
ISBN:9789401119801
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 409
Keywords: Physics , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Partial differential equations , Physics , Theoretical, Mathematical and Computational Physics , Non-associative Rings and Algebras , Topological Groups, Lie Groups , Partial Differential Equations
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Call number:SPRINGER-1993-9789401117197:ONLINE Show nearby items on shelf
Title:Spinors, Twistors, Clifford Algebras and Quantum Deformations Proceedings of the Second Max Born Symposium held near Wrocław, Poland, September 1992
Author(s):
Date:1993
Size:1 online resource (430 p.)
Note:10.1007/978-94-011-1719-7
Contents:Spinors -- Structure of matrix manifolds and a particle model -- Complex stuctures and the Elie Cartan approach to the theory of spinors -- Spin structures on hypersurfaces and the spectrum of the Dirac operator on spheres --
Algebraic construction of spin structures on homogeneous spaces -- The Kummer configuration and the geometry of Majorana spinors -- Pauli-Kofink identities and pure spinors -- General covariance and spinors -- Tensored division
algebras: origin of geometry, spinors and symmetry -- G-Structure for hypermanifolds -- Towards a unification of “everything” with gravity -- Generalized Fierz identitites and the superselection rule for geometric multispinors --
Electrons, photons and spinors in the Pauli algebra -- Twistors -- Twistors and supersymmetry -- A twistor-like description of D=10 superstrings and D=11 supermembranes -- Born’s reciprocity in the conformal domain -- Self-dual
Einstein supermanifolds and supertwistor theory -- An approach to the construction of coherent states for massless particles -- Clifford Algebras -- What is a bivector ? -- Monogenic forms on manifolds -- On invertibility of the
Clifford algebra elements with disjoint supports -- Clifford algebras and algebraic structure of fundamental fermions -- Clifford algebra of two-forms, conformal structures and field equations -- Dirac form of Maxwell equation
?n-graded algebras -- Travelling waves within the Clifford algebra -- Hamiltonian mechanics with geometric calculus -- Grassmann mechanics, multivector derivatives and geometric algebra -- Intrinsic non-invariant forms of Dirac
equation -- 2-spinors, twistors and supersymmetry in the space-time algebra -- Quantum Deformations -- Quantized Minkowski space -- D = 4 Quantum Poincaré algebra and finite difference time derivative -- Quantum Lorentz group and
q-deformed Clifford algebra -- Isotropic q- Lorentz group -- Lorentz algebra and twists -- On a noncommutative extension of electrodynamics -- Bicovariant differential calculus and q-deformation of gauge theory -- Cyclic paragrassmann
representations for covariant quantum algebras -- Hecke symmetries and braided Lie algebras -- Anyonic quantum groups -- On S-Lie-Cartan pairs -- New real forms of Uq(G) -- Related Topics -- ?3-graded structures -- On Jordan block form
-- Unified theory of spin and angular momentum -- Noetherian symmetries in particle mechanics and classical field theory -- Liénard-Wiechert Yang-Mills fields -- The twist prescription in the topological Yang-Mills theory -- On
symmetry properties of classical Lagrange functions under rotations -- Tunnelling of neutral particle with spin 1/2 through magnetic field -- List of participants
ISBN:9789401117197
Series:eBooks
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Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 52
Keywords: Physics , Nonassociative rings , Rings (Algebra) , Physics , Theoretical, Mathematical and Computational Physics , Non-associative Rings and Algebras
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Call number:SPRINGER-1993-9789401116480:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory
Author(s): Philip Feinsilver
Date:1993
Size:1 online resource (226 p.)
Note:10.1007/978-94-011-1648-0
Contents:I. General remarks -- II. Some notations -- III. Gamma and beta functions -- IV. Numbering -- V. References -- VI. Polynomials: notations and formulas -- VII. Exercises and examples -- 1 Introductory Noncommutative Algebra -- I.
Representations -- II. Heisenberg-Weyl algebra -- III. sl(2) algebra -- IV. Splitting formulas -- V. Exercises and examples -- 2 Hypergeometric functions -- I. Notations -- II. Generating function for 2F1 -- III. General formulation of
CVPS and transformation formulas -- IV. Formulas related to HW algebra -- V. Formulas related to sl(2) algebra -- VI. Exercises and examples -- 3 Probability and Fock Spaces -- I. Trace functionals: probability and operators -- II.
Fock spaces -- III. Tensor products -- IV. Exercises and examples -- 4 Moment Systems -- I. Moment generating functions and convolution -- II. Moment systems -- III. Radial moment systems -- IV. Holomorphic canonical variables -- V.
Exercises and examples -- 5 Bernoulli Processes -- I. Bernoulli systems: general structure -- II. Binomial process and Krawtchouk polynomials -- III. Negative binomial process and Meixner polynomials -- IV. Continuous binomial process
and Meixner-Pollaczek polynomials -- V. Poisson process and Poisson-Charlier polynomials -- VI. Exponential process and Laguerre polynomials -- VII. Brownian motion and Hermite polynomials -- VIII. Canonical moments -- IX. Exercises
and examples -- 6 Bernoulli Systems -- I. Expansions, Rodrigues, and Riccati -- II. w-kernel -- III. X operator -- IV. Generating functions -- V. Riccati equations and Bernoulli systems -- VI. Reproducing kernels -- VII. Exercises -- 7
Matrix Elements -- I. Matrix elements -- II. Addition formulas and Riccati equations -- III. Coherent states and coherent state representations -- IV. Addition formulas for matrix elements of the group -- V. Exercises -- References
ISBN:9789401116480
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 241
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Topological groups , Lie groups , Operator theory , Special functions , Probabilities , Mathematics , Non-associative Rings and Algebras , Topological Groups, Lie Groups , Probability Theory and Stochastic Processes , Special Functions , Operator Theory
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Call number:SPRINGER-1992-9789401124027:ONLINE Show nearby items on shelf
Title:Geometry and Algebra of Multidimensional Three-Webs
Author(s): Maks A Akivis
Date:1992
Size:1 online resource (358 p.)
Note:10.1007/978-94-011-2402-7
Contents:1 Three-Webs and Geometric Structures Associated with Them -- 1.1 G-Structures, Fibrations and Foliations -- 1.2 Three-Webs on Smooth Manifolds -- 1.3 Geometry of the Tangent Space of a Multidimensional Three-Web -- 1.4 Structure
Equations of a Multidimensional Three-Web -- 1.5 Parallelizable and Group Three-Webs -- 1.6 Computation of the Torsion and Curvature Tensors of a Three-Web -- 1.7 The Canonical Chern Connection on a Three-Web -- 1.8 Other Connections
Associated with a Three-Web -- 1.9 Subwebs of Multidimensional Three-Webs -- Problems -- Notes -- 2 Algebraic Structures Associated with Three-Webs -- 2.1 Quasigroups and Loops -- 2.2 Configurations in Abstract Three-Webs -- 2.3
Identities in Coordinate Loops and Closure Conditions -- 2.4 Local Differentiable Loops and Their Tangent Algebras -- 2.5 Tangent Algebras of a Multidimensional Three-Web -- 2.6 Canonical Coordinates in a Local Analytic Loop -- 2.7
Algebraic Properties of the Chern Connection -- Problems -- Notes -- 3 Transversally Geodesic and Isoclinic Three-Webs -- 3.1 Transversally Geodesic and Hexagonal Three-Webs -- 3.2 Isoclinic Three-Webs -- 3.3 Grassmann Three-Webs --
3.4 An Almost Grassmann Structure Associated with a Three-Web. Problems of Grassmannization and Algebraization -- 3.5 Isoclinicly Geodesic Three-Webs. Three-Webs over Algebra -- Problems -- Notes -- 4 The Bol Three-Webs and the Moufang
Three-Webs -- 4.1 The Bol Three-Webs -- 4.2 The Isoclinic Bol Three-Webs -- 4.3 The Six-Dimensional Bol Three-Webs -- 4.4 The Moufang Three-Webs -- 4.5 The Moufang Three-Web of Minimal Dimension -- Problems -- Notes -- 5 Closed
G-Structures Associated with Three-Webs -- 5.1 Closed G-Structures on a Smooth Manifold -- 5.2 Closed G-Structures Defined by Multidimensional Three-Webs -- 5.3 Four-dimensional Hexagonal Three-Webs -- 5.4 The Closure of The
G-Structure Defined by a Multidimensional Hexagonal Three-Web -- 5.5 Three-Webs and Identities in Loops -- Problems -- Notes -- 6 Automorphisms of Three-Webs -- 6.1 The Autotopies of Quasigroups and Three-Webs -- 6.2 Infinitesimal
Automorphisms of Three-Webs -- 6.3 Regular Infinitesimal Automorphisms of Three-Webs -- 6.4 G-Webs -- Problems -- Notes -- 7 Geometry of the Fourth Order Differential Neighborhood of a Multidimensional Three-Web -- 7.1 Computation of
Covariant Derivatives of the Curvature Tensor of a Three-Web -- 7.2 Internal Mappings in Coordinate Loops of a Three-Web -- 7.3 An Algebraic Characterization of the Tangent W4-Algebra of a Three-Web -- 7.4 Classification of Three-Webs
in the Fourth Order Differential Neighborhood -- 7.5 Three-Webs with Elastic Coordinate Loop -- Problems -- Notes -- 8 d-Webs of Codimension r -- 8.1 (n + 1)-Webs on a Manifold of Dimension nr -- 8.2 (n + 1)-Webs on a Grassmann
Manifold -- 8.3 (n + 1)-Webs and Almost Grassmann Structures -- 8.4 Transversally Geodesic and Isoclinic (n + 1)-Webs -- 8.5 d-Webs on a Manifold of Dimension nr -- 8.6 The Algebraization Problem for Multidimensional d-Webs -- 8.7 The
Rank Problem for d-Webs -- Problems -- Notes -- Appendix A -- Symbols Frequently Used
ISBN:9789401124027
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 82
Keywords: Mathematics , Algebraic geometry , Nonassociative rings , Rings (Algebra) , Differential geometry , Mathematics , Differential Geometry , Non-associative Rings and Algebras , Algebraic Geometry
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Call number:SPRINGER-1992-9783662028131:ONLINE Show nearby items on shelf
Title:Kac Algebras and Duality of Locally Compact Groups
Author(s): Michel Enock
Date:1992
Size:1 online resource (257 p.)
Note:10.1007/978-3-662-02813-1
Contents:1. Co-Involutive Hopf-Von Neumann Algebras -- 2. Kac Algebras -- 3. Representations of a Kac Algebra Dual Kac Algebra -- 4. Duality Theorems for Kac Algebras and Locally Compact Groups -- 5. The Category of Kac Algebras -- 6. Special
Cases: Unimodular, Compact, Discrete and Finite-Dimensional Kac Algebras -- Postface
ISBN:9783662028131
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Nonassociative rings , Topological groups , Lie groups , Harmonic analysis , Mathematics , Algebra , Topological Groups, Lie Groups , Associative Rings and Algebras , Non-associative Rings and Algebras , Abstract Harmonic Analysis
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Call number:SPRINGER-1991-9789401136044:ONLINE Show nearby items on shelf
Title:Automorphisms and Derivations of Associative Rings
Author(s): V. K Kharchenko
Date:1991
Size:1 online resource (385 p.)
Note:10.1007/978-94-011-3604-4
Contents:1. Structure of Rings -- 1.1 Baer Radical and Semiprimeness -- 1.2 Automorphism Groups and Lie Differential Algebras -- 1.3 Bergman-Isaacs Theorem. Shelter Integrality -- 1.4 Martindale Ring of Quotients -- 1.5 The Generalized
Centroid of a Semiprime Ring -- 1.6 Modules over a Generalized Centroid -- 1.7 Extension of Automorphisms to a Ring of Quotients. Conjugation Modules -- 1.8 Extension of Derivations to a Ring of Quotients -- 1.9 The Canonical Sheaf of
a Semiprime Ring -- 1.10 Invariant Sheaves -- 1.11 The Metatheorem -- 1.12 Stalks of Canonical and Invariant Sheaves -- 1.13 Martindale’s Theorem -- 1.14 Quite Primitive Rings -- 1.15 Rings of Quotients of Quite Primitive Rings -- 2.
On Algebraic Independence of Automorphisms And Derivations -- 2.0 Trivial Algebraic Dependences -- 2.1 The Process of Reducing Polynomials -- 2.2 Linear Differential Identities with Automorphisms -- 2.3 Multilinear Differential
Identities with Automorphisms -- 2.4 Differential Identities of Prime Rings -- 2.5 Differential Identities of Semiprime Rings -- 2.6 Essential Identities -- 2.7 Some Applications: Galois Extentions of Pi-Rings Algebraic Automorphisms
and Derivations Associative Envelopes of Lie-Algebras of Derivations -- 3. The Galois Theory of Prime Rings (The Case Of Automorphisms) -- 3.1 Basic Notions -- 3.2 Some Properties of Finite Groups of Outer Automorphisms -- 3.3
Centralizers of Finite-Dimensional Algebras -- 3.4 Trace Forms -- 3.5 Galois Groups -- 3.6 Maschke Groups. Prime Dimensions -- 3.7 Bimodule Properties of Fixed Rings -- 3.8 Ring of Quotients of a Fixed Ring -- 3.9 Galois Subrings for
M-Groups -- 3.10 Correspondence Theorems -- 3.11 Extension of Isomorphisms -- 4. The Galois Theory of Prime Rings (The Case Of Derivations) -- 4.1 Duality for Derivations in the Multiplication Algebra -- 4.2 Transformation of
Differential Forms -- 4.3 Universal Constants -- 4.4 Shirshov Finiteness -- 4.5 The Correspondence Theorem -- 4.6 Extension of Derivations -- 5. The Galois Theory of Semiprime Rings -- 5.1 Essential Trace Forms -- 5.2 Intermediate
Subrings -- 5.3 The Correspondence Theorem for Derivations -- 5.4 Basic Notions of the Galois Theory of Semiprime Rings (the case of automorphisms) -- 5.5 Stalks of an Invariant Sheaf for a Regular Group. Homogenous Idempotents -- 5.6
Principal Trace Forms -- 5.7 Galois Groups -- 5.8 Galois Subrings for Regular Closed Groups -- 5.9 Correspondence and Extension Theorems -- 5.10 Shirshov Finiteness. The Structure of Bimodules -- 6. Applications -- 6.1 Free Algebras --
6.2 Noncommutative Invariants -- 6.3 Relations of a Ring with Fixed Rings -- 6.4 Relations of a Semiprime Ring with Ring of Constants -- 6.5 Hopf Algebras -- References
ISBN:9789401136044
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 69
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Nonassociative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-1987-9789400938359:ONLINE Show nearby items on shelf
Title:Dimensions of Ring Theory
Author(s): Constantin Nǎstǎsescu
Date:1987
Size:1 online resource (360 p.)
Note:10.1007/978-94-009-3835-9
Contents:1. Finiteness Conditions for Lattices -- 1.1. Lattices -- 1.2. Noetherian and Artinian Lattices -- 1.3. Lattices of Finite Length -- 1.4. Irreducible Elements in a Lattice -- 1.5. Goldie Dimension of a Modular Lattice -- 1.6. Goldie
Dimension and Chain Conditions for Modular Lattices with Finite Group Actions -- 1.7. Complements and Pseudo-Complements -- 1.8. Semiatomic Lattices and Compactly Generated Lattices -- 1.9. Semiartinian Lattices -- 1.10. Indecomposable
Elements in a Lattice -- 1.11. Exercises -- Bibliographical Comments to Chapter 1 -- 2. Finiteness Conditions for Modules -- 2.1. Modules -- 2.2. The Lattice of Submodules of a Module -- 2.3. Noetherian and Artinian Modules -- 2.4.
Modules of Finite Length -- 2.5. Semisimple Modules -- 2.6. Semisimple and Simple Artinian Rings -- 2.7. The Jacobson Radical and the Prime Radical of a Ring -- 2.8. Rings of Fractions. Goldie’s Theorems -- 2.9. Artinian Modules which
are Noetherian -- 2.10. Projective and Infective Modules -- 2.11. Tensor Product and Flat Modules -- 2.12. Normalizing Extensions of a Ring -- 2.13. Graded Rings and Modules -- 2.14. Graded Rings and Modules of Type ?. Internal
Homogenisation -- 2.15. Noetherian Modules over Graded Rings of Type ?. Applications -- 2.16. Strongly Graded Rings and Clifford Systems for Finite Groups -- 2.17. Invariants of a Finite Group Action -- 2.18. Exercises --
Bibliographical Comments to Chapter 2 -- 3. Krull Dimension and Gabriel Dimension of an Ordered Set -- 3.1. Definitions and Basic Properties -- 3.2. The Krull Dimension of a Modular Lattice -- 3.3. Critical Composition Series of a
Lattice -- 3.4. The Gabriel Dimension of a Modular Lattice -- 3.5. Comparison of Krull and Gabriel Dimension -- 3.6. Exercises -- Bibliographical Comments to Chapter 3 -- 4. Krull Dimension and Gabriel Dimension of Rings and Modules --
4.1. Definitions and Generalities -- 4.2. Krull and Gabriel Dimension of Some Special Classes of Rings and Modules -- 4.3. Exercises -- Bibliographical Comments to Chapter 4 -- 5. Rings with Krull Dimension -- 5.1. Nil Ideals -- 5.2.
Semiprime Rings with Krull Dimension -- 5.3. Classical Krull Dimension of a Ring -- 5.4. Associated prime Ideals -- 5.5. Fully Left Bounded Rings with Krull Dimension -- 5.6. Examples of Noetherian Rings of Arbitrary Krull Dimension --
5.7. Exercises -- Bibliographical Comments to Chapter 5 -- 6. Krull Dimension of Noetherian Rings. The Principal Ideal Theorem -- 6.1. Fully Left Bounded Left Noetherian Rings -- 6.2. The Reduced Rank of a Module -- 6.3. Noetherian
Rings Satisfying Condition H -- 6.4. Fully Bounded Noetherian Rings -- 6.5. Krull Dimension and Invertible Ideals in a Noetherian Ring -- 6.6. The Principal Ideal Theorem -- 6.7. Exercises -- Bibliographical Comments to Chapter 6 -- 7.
Relative Krull and Gabriel Dimensions -- 7.1. Additive Topologies and Torsion Theories -- 7.2. The Lattices CF (M) and CHg -- 7.3. Relative Krull Dimension -- 7.4. Relative Krull Dimension Applied to the Principal Ideal Theorem -- 7.5.
Relative Gabriel Dimension -- 7.6. Relative Krull and Gabriel Dimensions of Graded Rings -- 7.7. Exercises -- Bibliographical Comments to Chapter 7 -- 8. Homological Dimensions -- 8.1. The Projective Dimension of a Module -- 8.2.
Homological Dimension of Polynomial Rings and Rings of Formal Power Series -- 8.3. Injective Dimension of a Module -- 8.4. The Flat Dimension of a Module -- 8.5. The Artin-Rees Property and Homological Dimensions -- 8.6. Regular Local
Rings -- 8.7. Exercises -- Bibliographical Comments to Chapter 8 -- 9. Rings of Finite Global Dimension -- 9.1. The Zariski Topology -- 9.2. The Local Study of Homological Dimension -- 9.3. Rings Integral over their Centres -- 9.4.
Commutative Rings of Finite Global Dimension -- 9.5. Exercises -- Bibliographical Comments to Chapter 9 -- 10. The Gelfand-Kirillov Dimension -- 10.1. Definitions and Basic Properties -- 10.2. GK-dimension of Filtered and Graded
Algebras -- 10.3. Applications to Special Classes of Rings -- 10.4. Exercises -- Bibliographical Comments to Chapter 10 -- References
ISBN:9789400938359
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 36
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Nonassociative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-1984-9789400963696:ONLINE Show nearby items on shelf
Title:Methods in Ring Theory
Author(s):
Date:1984
Size:1 online resource (576 p.)
Note:10.1007/978-94-009-6369-6
Contents:R-Prüfer Rings and Approximation Theorems -- Certain Artinian Lattices Are Noetherian. Applications to the Relative Hopkins-Levitzki Theorem -- A Generalization of Semisimple Modules -- Graded Complete and Graded Henselian Rings --
Cyclic Classes in Relative Brauer Groups -- Simple Noetherian Non-Matrix Rings -- Group-Gradings of Categories -- Brauer Groups of Homogeneous Spaces I -- Simple Submodules in a Finite Direct Sum of Uniform Modules -- Functors of
Graded Rings -- Sur une Classe d’Algèbres Filtrées -- Some Special Class of Artin Rings of Finite Type -- Group Rings and Maximal Orders -- A Note on Infinite Torsion Primes of a Commutative Ring -- Applications of Kummer Theory
Without Roots of Unity -- The Index of Nility of a Matrix Ring Over a Ring With Bounded Index -- On Algebraic Derivations of Prime Rings -- Smooth Maximal Orders in Quaternion Algebras I -- Group Rings and Division Rings -- On Free
Subobjects of Skew Fields -- Herstein’s Lie and Jordan Theory Revisited -- Divisorially Graded Orders in a Simple Artinian Ring -- ? -Injective Modules and QF-3 Endomorphism Rings -- Group Actions on Rings: Some Classical Problems --
Links Between Maximal Ideals in Bounded Noetherian Prime Rings of Krull Dimension One -- Noetherian Subrings of Quotient Rings -- Stability Conditions for Cummutative Rings with Krull Dimension -- Cancellative Group-Graded Rings -- The
Automorphism Group of a Polynomial Algebra -- Auslander-Reiten Quivers for Some Artinian Torsion Theories and Integral Representations -- Automorphisms and Isomorphisms of Integral Group Rings of Finite Groups -- Self-Injective
Dimension of Serial Rings -- Smooth Affine PI Algebras -- Questions on Skew Fields -- Torsion Units in Group Rings -- On the Length of Decompositions of Central Simple Algebras in Tensor Products of Symbols -- A Duality Theorem for
Hopf Algebras -- Note on Central Class Groups of Orders Over Krull Domains -- On the Picard Group of a Quasi-Affine Scheme -- Duality Theory for Quasi-Injective Modules -- List of Participants
ISBN:9789400963696
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 129
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Nonassociative rings , Mathematics , Algebra , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-1976-9783540379836:ONLINE Show nearby items on shelf
Title:Noncommutative Ring Theory Papers presented at the International Conference Held at Kent State University April 4–5, 1975
Author(s):
Date:1976
Size:1 online resource (216 p.)
Note:10.1007/BFb0080303
Contents:Some aspects of noncomutative localization -- Zero-divisors in tensor products -- Regular rings and rank functions -- Some aspects of noncommutative noetherian rings -- Certain injectives are artinian -- Artinian quotient rings of
macaulay rings -- Cyclic and faithful objects in quotient categories with applications to noetherian simple or asano rings -- Prime singular-splitting rings with finiteness conditions -- Problem session on regular rings -- Problems
ISBN:9783540379836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 545
Keywords: Mathematics , Commutative algebra , Commutative rings , Nonassociative rings , Rings (Algebra) , Mathematics , Commutative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-1951-9781468473018:ONLINE Show nearby items on shelf
Title:Lectures in Abstract Algebra I Basic Concepts
Author(s): Nathan Jacobson
Date:1951
Publisher:New York, NY : Springer New York
Size:1 online resource (217 p.)
Note:10.1007/978-1-4684-7301-8
Contents:Introduction: Concepts from Set Theory the System of Natural Numbers -- 1. Operations on sets -- 2. Product sets, mappings -- 3. Equivalence relations -- 4. The natural numbers -- 5. The system of integers -- 6. The division process in I -- I: Semi- groups and Groups -- 1. Definition and examples of semi-groups -- 2. Non-associative binary compositions -- 3. Generalized associative law. Powers -- 4. Commutativity -- 5. Identities and inverses -- 6. Definition and examples of groups -- 7. Subgroups -- 8. Isomorphism -- 9. Transformation groups -- 10. Realization of a group as a transformation group -- 11. Cyclic groups. Order of an element -- 12. Elementary properties of permutations -- 13. Coset decompositions of a group -- 14. Invariant subgroups an d factor groups -- 15. Homomorphism of groups -- 16. The fundamental theorem of homomorphism for groups -- 17. Endomorphisms, automorphisms, center of a group -- 18. Conjugate classes -- II: Rings, Integral Domains and Fields -- 1.
Definition and examples -- 2. Types of rings -- 3. Quasi-regularity. The circle composition -- 4. Matrix rings -- 5. Quaternions -- 6. Subrings generated by a set of elements. Center -- 7. Ideals, difference rings -- 8. Ideals and difference rings f or the ring of integers -- 9. Homomorphism of rings -- 10. Anti-isomorphism -- 11. Structure of the additive group of a ring. The charateristic of a ring -- 12. Algebra of subgroups of the additive group of a ring. One-sided ideals -- 13. The ring of endo morphisms of a commutative group -- 14. The multiplications of a ring -- III: Extensions of Rings and Fields -- 1. Imbedding of a ring in a ring with an identity -- 2. Field of fractions of a commutative integral domain -- 3. Uniqueness of the field of fr actions -- 4. Polynomial rings -- 5. Structure of polynomial rings -- 6. Properties of the ring U[x] -- 7. Simple extensions of a field -- 8. Structure of any field -- 9. The number of roots of a polynomial in a field -- 10. Polynomials in
several elements -- 11. Symmetric polynomials -- 12. Rings of functions -- IV: Elementary Factorization Theory -- 1. Factors, associates, irreducible elements -- 2. Gaussian semi-groups -- 3. Greatest common divisors -- 4. Principal ideal domains -- 5. Euclidean domains -- 6. Polynomial extensions of Gaussian domains -- V: Groups with Operators -- 1. Definition and examples of groups with operators -- 2. M-subgroups, M-factor groups and M-homomorphisms -- 3. The fundamental theorem of homomorphism f or M-groups -- 4. The correspondence between M-subgroups determined by a homomorphism -- 5. The isomorphism theorems for M-groups -- 6. Schreier’s theorem -- 7. Simple groups and the Jordan-Hölder theorem -- 8. The chain conditions -- 9. Direct product s -- 10. Direct products of subgroups -- 11. Projections -- 12. Decomposition into indecomposable groups -- 13. The Krull-Schmidt theorem -- 14. Infinite direct products -- VI: Modules and Ideals -- 1. Definitions -- 2. Fundamental concepts --
ISBN:9781468473018
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 30
Keywords: Mathematics , Algebra , Mathematics , Algebra
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