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Developments and Trends in Infinite-Dimensional Lie Theory
This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional...
| Call Number: | Libro Electrónico |
|---|---|
| Corporate Author: | |
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2011.
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| Edition: | 1st ed. 2011. |
| Series: | Progress in Mathematics,
288 |
| Subjects: | |
| Online Access: | Texto Completo |
Table of Contents:
- Preface
- Part A: Infinite-Dimensional Lie (Super-)Algebras
- Isotopy for Extended Affine Lie Algebras and Lie Tori
- Remarks on the Isotriviality of Multiloop Algebras
- Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras - A Survey
- Tensor Representations of Classical Locally Finite Lie Algebras
- Lie Algebras, Vertex Algebras, and Automorphic Forms
- Kac-Moody Superalgebras and Integrability
- Part B: Geometry of Infinite-Dimensional Lie (Transformation) Groups
- Jordan Structures and Non-Associative Geometry
- Direct Limits of Infinite-Dimensional Lie Groups
- Lie Groups of Bundle Automorphisms and Their Extensions
- Gerbes and Lie Groups
- Part C: Representation Theory of Infinite-Dimensional Lie Groups Functional Analytic Background for a Theory of Infinite- Dimensional Reductive Lie Groups
- Heat Kernel Measures and Critical Limits
- Coadjoint Orbits and the Beginnings of a Geometric Representation Theory
- Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces
- Index.