Volume 288 2011

Developments and Trends in Infinite-Dimensional Lie Theory

Editors:

ISBN: 978-0-8176-4740-7 (Print) 978-0-8176-4741-4 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-viii

  2. Infinite-Dimensional Lie (Super-)Algebras

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-43

      Isotopy for Extended Affine Lie Algebras and Lie Tori

    3. No Access

      Book Chapter

      Pages 45-51

      Remarks on the Isotriviality of Multiloop Algebras

    4. No Access

      Book Chapter

      Pages 53-126

      Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey

    5. No Access

      Book Chapter

      Pages 127-150

      Tensor Representations of Classical Locally Finite Lie Algebras

    6. No Access

      Book Chapter

      Pages 151-168

      Lie Algebras, Vertex Algebras, and Automorphic Forms

    7. No Access

      Book Chapter

      Pages 169-218

      Kac–Moody Superalgebras and Integrability

  3. Geometry of Infinite-Dimensional Lie (Transformation) Groups

    1. Front Matter

      Pages 219-219

    2. No Access

      Book Chapter

      Pages 221-241

      Jordan Structures and Non-Associative Geometry

    3. No Access

      Book Chapter

      Pages 243-280

      Direct Limits of Infinite-Dimensional Lie Groups

    4. No Access

      Book Chapter

      Pages 281-338

      Lie Groups of Bundle Automorphisms and Their Extensions

    5. No Access

      Book Chapter

      Pages 339-364

      Gerbes and Lie Groups

  4. Representation Theory of Infinite-Dimensional Lie Groups

    1. Front Matter

      Pages 365-365

    2. No Access

      Book Chapter

      Pages 367-392

      Functional Analytic Background for a Theory of Infinite-Dimensional Reductive Lie Groups

    3. No Access

      Book Chapter

      Pages 393-415

      Heat Kernel Measures and Critical Limits

    4. No Access

      Book Chapter

      Pages 417-457

      Coadjoint Orbits and the Beginnings of a Geometric Representation Theory

    5. No Access

      Book Chapter

      Pages 459-481

      Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces

  5. Back Matter

    Pages 483-492