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SPIRES-BOOKS: FIND KEYWORD CATEGORY THEORY,HOMOLOGICAL ALGEBRA *END*INIT* use /tmp/qspiwww.webspi1/8474.23 QRY 131.225.70.96 . find keyword category theory,homological algebra ( in books using www

 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

 Call number: SPRINGER-2002-9781461201052:ONLINE Show nearby items on shelf Title: Kac-Moody Groups, their Flag Varieties and Representation Theory Author(s): Shrawan Kumar Date: 2002 Size: 1 online resource (609 p.) Note: 10.1007/978-1-4612-0105-2 Contents: I. Kac-Moody Algebras: Basic Theory -- 1. Definition of Kac-Moody Algebras -- 2. Root Space Decomposition -- 3. Weyl Groups Associated to Kac-Moody Algebras -- 4. Dominant Chamber and Tits Cone -- 5. Invariant Bilinear Form and the Casimir Operator -- II. Representation Theory of Kac-Moody Algebras -- 1. Category $$\mathcal{O}$$ -- 2. Weyl-Kac Character Formula -- 3. Shapovalov Bilinear Form -- III. Lie Algebra Homology and Cohomology -- 1. Basic Definitions and Elementary Properties -- 2. Lie Algebra Homology of n-: Results of Kostant-Garland-Lepowsky -- 3. Decomposition of the Category $$\mathcal{O}$$ and some Ext Vanishing Results -- 4. Laplacian Calculation -- IV. An Introduction to ind-Varieties and pro-Groups -- 1. Ind-Varieties: Basic Definitions -- 2. Ind-Groups and their Lie Algebras -- 3. Smoothness of ind-Varieties -- 4. An Introduction to pro-Groups and pro-Lie Algebras -- V. Tits Systems: Basic Theory -- 1. An Introduction to Tits Systems -- 2. Refined Tits Systems -- VI. Kac-Moody Groups: Basic Theory -- 1. Definition of Kac-Moody Groups and Parabolic Subgroups -- 2. Representations of Kac-Moody Groups -- VII. Generalized Flag Varieties of Kac-Moody Groups -- 1. Generalized Flag Varieties: Ind-Variety Structure -- 2. Line Bundles on $${\mathcal{X}^Y}$$ -- 3. Study of the Group $${\mathcal{U}^ - }$$ -- 4. Study of the Group $${\mathcal{G}^{\min }}$$ Defined by Kac-Peterson -- VIII. Demazure and Weyl-Kac Character Formulas -- 1. Cohomology of Certain Line Bundles on $${Z_\mathfrak{w}}$$ -- 2. Normality of Schubert Varieties and the Demazure Character Formula -- 3. Extension of the Weyl-Kac Character Formula and the Borel-Weil-Bott Theorem -- IX. BGG and Kempf Resolutions -- 1. BGG Resolution: Algebraic Proof in the Symmetrizable Case -- 2. A Combinatorial Description of the BGG Resolution -- 3. Kempf Resolution -- X. Defining Equations of $$\mathcal{G}/\mathcal{P}$$ and Conjugacy Theorems -- 1. Quadratic Generation of Defining Ideals of $$\mathcal{G}/\mathcal{P}$$ in Projective Embeddings -- 2. Conjugacy Theorems for Lie Algebras -- 3. Conjugacy Theorems for Groups -- XI. Topology of Kac-Moody Groups and Their Flag Varieties -- 1. The Nil-Hecke Ring -- 2. Determination of $$\bar R$$ -- 3. T-equivariant Cohomology of $$\mathcal{G}/\mathcal{P}$$ -- 4. Positivity of the Cup Product in the Cohomology of Flag Varieties -- 5. Degeneracy of the Leray-Serre Spectral Sequence for the Fibration $${\mathcal{G}^{\min }} \to {\mathcal{G}^{\min }}/T$$ -- XII. Smoothness and Rational Smoothness of Schubert Varieties -- 1. Singular Locus of Schubert Varieties -- 2. Rational Smoothness of Schubert Varieties -- XIII. An Introduction to Affine Kac-Moody Lie Algebras and Groups -- 1. Affine Kac-Moody Lie Algebras -- 2. Affine Kac-Moody Groups -- Appendix A. Results from Algebraic Geometry -- Appendix B. Local Cohomology -- Appendix C. Results from Topology -- Appendix D. Relative Homological Algebra -- Appendix E. An Introduction to Spectral Sequences -- Index of Notation ISBN: 9781461201052 Series: eBooks Series: SpringerLink (Online service) Series: Springer eBooks Series: Progress in Mathematics : 204 Keywords: Mathematics , Algebra , Algebraic geometry , Group theory , Topological groups , Lie groups , Algebraic topology , Mathematics , Algebraic Topology , Topological Groups, Lie Groups , Algebra , Algebraic Geometry , Group Theory and Generalizations 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

 Call number: SPRINGER-2000-9783034884266:ONLINE Show nearby items on shelf Title: Infinite Length Modules Author(s): Date: 2000 Size: 1 online resource (439 p.) Note: 10.1007/978-3-0348-8426-6 Contents: Infinite length modules. Some Examples as Introduction -- Modules with strange decomposition properties -- Failure of the Krull-Schmidt theorem for artinian modules and serial modules -- Artinian modules over a matrix ring -- Some combinatorial principles for solving algebraic problems -- Dimension theory of noetherian rings -- Krull, Gelfand-Kirillov, Filter, Faithful and Schur dimensions -- Cohen-Macaulay modules and approximations -- The generic representation theory of finite fields A survey of basic structures -- On artinian objects in the category of functors between $${{\mathbb{F}}_{2}}$$ -vector spaces -- Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces -- Infinite dimensional modules for finite groups -- Bousfield localization for representation theoretists -- The thick subcategory generated by the trivial module -- Birational classification of moduli spaces -- Tame algebras and degenerations of modules -- On some tame and discrete families of modules -- Purity, algebraic compactness, direct sum decompositions, and representation type -- Topological and geometrical aspects of the Ziegler spectrum -- Finite versus infinite dimensional representations A new definition of tameness -- Invariance of tameness under stable equivalence:Krause’s theorem -- The Krull-Gabriel dimension of an algebra Open problems and conjectures -- Homological differences between finite and infinite dimensional representations of algebras ISBN: 9783034884266 Series: eBooks Series: SpringerLink (Online service) Series: Springer eBooks Keywords: Mathematics , Algebra , Mathematics , Algebra 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

 Call number: SPRINGER-1986-9783642827839:ONLINE Show nearby items on shelf Title: Cohomology of Sheaves Author(s): Birger Iversen Date: 1986 Size: 1 online resource (464 p.) Note: 10.1007/978-3-642-82783-9 Contents: I. Homological Algebra -- 1. Exact categories -- 2. Homology of complexes -- 3. Additive categories -- 4. Homotopy theory of complexes -- 5. Abelian categories -- 6. Injective resolutions -- 7. Right derived functors -- 8. Composition products -- 9. Resume of the projective case -- 10. Complexes of free abelian groups -- 11. Sign rules -- II. Sheaf Theory -- 0. Direct limits of abelian groups -- 1. Presheaves and sheaves -- 2. Localization -- 3. Cohomology of sheaves -- 4. Direct and inverse image of sheaves. f*,f* -- 5. Continuous maps and cohomology!, -- 6. Locally closed subspaces, h!h -- 7. Cup products -- 8. Tensor product of sheaves -- 9. Local cohomology -- 10. Cross products -- 11. Flat sheaves -- 12. Hom(E,F) -- III. Cohomology with Compact Support -- 1. Locally compact spaces -- 2. Soft sheaves -- 3. Soft sheaves on $$\mathbb {R}$$n -- 4. The exponential sequence -- 5. Cohomology of direct limits -- 6. Proper base change and proper homotopy -- 7. Locally closed subspaces -- 8. Cohomology of the n-sphere -- 9. Dimension of locally compact spaces -- 10. Wilder’s finiteness theorem -- IV. Cohomology and Analysis -- 1. Homotopy invariance of sheaf cohomology -- 2. Locally compact spaces, countable at infinity -- 3. Complex logarithms -- 4. Complex curve integrals. The monodromy theorem -- 5. The inhomogenous Cauchy-Riemann equations -- 6. Existence theorems for analytic functions -- 7. De Rham theorem -- 8. Relative cohomology -- 9. Classification of locally constant sheaves -- V. Duality with Coefficient in a Field -- 1. Sheaves of linear forms -- 2. Verdier duality -- 3. Orientation of topological manifolds -- 4. Submanifolds of $$\mathbb {R}$$n of codimension 1 -- 5. Duality for a subspace -- 6. Alexander duality -- 7. Residue theorem for n-1 forms on $$\mathbb {R}$$n -- VI. Poincare Duality with General Coefficients -- 1. Verdier duality -- 2. The dualizing complex D -- 3. Lefschetz duality -- 4. Algebraic duality -- 5. Universal coefficients -- 6. Alexander duality -- VII. Direct Image with Proper Support -- 1. The functor f! -- 2. The Künneth formula -- 3. Global form of Verdier duality -- 4. Covering spaces -- 5. Local form of Verdier duality -- VIII. Characteristic Classes -- 1. Local duality -- 2. Thom class -- 3. Oriented microbundles -- 4. Cohomology of real projective space -- 5. Stiefel-Whitney classes -- 6. Chern classes -- 7. Pontrjagin classes -- IX. Borel Moore Homology -- 1. Proper homotopy invariance -- 2. Restriction maps -- 3. Cap products -- 4. Poincare duality -- 5. Cross products and the Künneth formula -- 6. Diagonal class of an oriented manifold -- 7. Gysin maps -- 8. Lefschetz fixed point formula -- 9. Wu’s formula -- 10. Preservation of numbers -- 11. Trace maps in homology -- X. Application to Algebraic Geometry -- 1. Dimension of algebraic varieties -- 2. The cohomology class of a subvariety -- 3. Homology class of a subvariety -- 4. Intersection theory -- 5. Algebraic families of cycles -- 6. Algebraic cycles and Chern classes -- XI. Derived Categories -- 1. Categories of fractions -- 2. The derived category D (A) -- 3. Triangles associated to an exact sequence -- 4. Yoneda extensions -- 5. Octahedra -- 6. Localization ISBN: 9783642827839 Series: eBooks Series: SpringerLink (Online service) Series: Springer eBooks Keywords: Mathematics , Algebraic topology , Mathematics , 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