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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...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Neeb, Karl-Hermann (Editor), Pianzola, Arturo (Editor)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
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.