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Kac-Moody Groups, their Flag Varieties and Representation Theory

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Cover of 'Kac-Moody Groups, their Flag Varieties and Representation Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Kac-Moody Algebras
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    Chapter 2 Representation Theory of Kac-Moody Algebras
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    Chapter 3 Lie Algebra Homology and Cohomology
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    Chapter 4 An Introduction to ind-Varieties and pro-Groups
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    Chapter 5 Tits Systems
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    Chapter 6 Kac-Moody Groups
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    Chapter 7 Generalized Flag Varieties of Kac-Moody Groups
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    Chapter 8 Demazure and Weyl-Kac Character Formulas
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    Chapter 9 BGG and Kempf Resolutions
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    Chapter 10 Defining Equations of G/P and Conjugacy Theorems
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    Chapter 11 Topology of Kac-Moody Groups and Their Flag Varieties
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    Chapter 12 Smoothness and Rational Smoothness of Schubert Varieties
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    Chapter 13 An Introduction to Affine Kac Moody Lie Algebras and Groups
Attention for Chapter 4: An Introduction to ind-Varieties and pro-Groups
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