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Kac-Moody groups, their flag varieties, and representation theory / Shrawan Kumar.

By: Kumar, Shrawan, 1953-.
Material type: materialTypeLabelBookSeries: Progress in mathematics ; v. 204.Publisher: Boston : Birkhaüaser, c2002Description: xiii, 606 p. ; 25 cm.ISBN: 0817642277 .Subject(s): Grupos de Lie | Algebras no asociativas | Anillos no asociativos | Algebras de Kac-Moody | Lie groups | Nonassociative algebras | Nonassociative rings | Kac-Moody algebras | Representations of groups | Flag manifolds
Contents:
Kac-Moody Algebras: Basic Theory -- Representation Theory of Kac-Moody Algebras -- Lie Algebra Homology and Cohomology -- An Introduction to ind-Varieties and pro-Groups -- Tits Systems: Basic Theory -- Kac-Moody Groups: Basic Theory -- Generalized Flag Varieties of Kac-Moody Groups -- Demazure and Weyl-Kac Character Formulas -- BGG and Kempf Resolutions -- Defining Equations of G/P and Conjugacy Theorems -- Topology of Kac-Moody Groups and Their Flag Varieties -- Smoothness and Rational Smoothness of Schubert Varieties -- An Introduction to Affine Kac-Moody Lie Algebras and Groups -- Results from Algebraic Geometry -- Local Cohomology -- Results from Topology -- Relative Homological Algebra -- An Introduction to Spectral Sequences.
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Item type Current location Call number Status Date due Barcode Item holds
Libro Libro FaMAF
Sección Matemática
M 17 K95 Available 22358
Total holds: 0

Incluye referencias bibliográficas (p. [559]-589) e índice.

I. Kac-Moody Algebras: Basic Theory -- II. Representation Theory of Kac-Moody Algebras -- III. Lie Algebra Homology and Cohomology -- IV. An Introduction to ind-Varieties and pro-Groups -- V. Tits Systems: Basic Theory -- VI. Kac-Moody Groups: Basic Theory -- VII. Generalized Flag Varieties of Kac-Moody Groups -- VIII. Demazure and Weyl-Kac Character Formulas -- IX. BGG and Kempf Resolutions -- X. Defining Equations of G/P and Conjugacy Theorems -- XI. Topology of Kac-Moody Groups and Their Flag Varieties -- XII. Smoothness and Rational Smoothness of Schubert Varieties -- XIII. An Introduction to Affine Kac-Moody Lie Algebras and Groups -- App. A. Results from Algebraic Geometry -- App. B. Local Cohomology -- App. C. Results from Topology -- App. D. Relative Homological Algebra -- App. E. An Introduction to Spectral Sequences.

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