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Developments and Trends in Infinite-Dimensional Lie Theory

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Cover of 'Developments and Trends in Infinite-Dimensional Lie Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Isotopy for Extended Affine Lie Algebras and Lie Tori
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    Chapter 2 Remarks on the Isotriviality of Multiloop Algebras
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    Chapter 3 Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey
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    Chapter 4 Tensor Representations of Classical Locally Finite Lie Algebras
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    Chapter 5 Lie Algebras, Vertex Algebras, and Automorphic Forms
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    Chapter 6 Kac–Moody Superalgebras and Integrability
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    Chapter 7 Jordan Structures and Non-Associative Geometry
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    Chapter 8 Direct Limits of Infinite-Dimensional Lie Groups
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    Chapter 9 Lie Groups of Bundle Automorphisms and Their Extensions
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    Chapter 10 Gerbes and Lie Groups
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    Chapter 11 Functional Analytic Background for a Theory of Infinite-Dimensional Reductive Lie Groups
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    Chapter 12 Heat Kernel Measures and Critical Limits
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    Chapter 13 Coadjoint Orbits and the Beginnings of a Geometric Representation Theory
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    Chapter 14 Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces
Attention for Chapter 8: Direct Limits of Infinite-Dimensional Lie Groups
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