Developments and Trends in Infinite-Dimensional Lie Theory

1. Isotopy for Extended Affine Lie Algebras and Lie Tori
Bruce Allison, John Faulkner

2. Remarks on the Isotriviality of Multiloop Algebras
Philippe Gille, Arturo Pianzola

3. Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey
Erhard Neher

4. Tensor Representations of Classical Locally Finite Lie Algebras
Ivan Penkov, Konstantin Styrkas

5. Lie Algebras, Vertex Algebras, and Automorphic Forms
Nils R. Scheithauer

6. Kac–Moody Superalgebras and Integrability
Vera Serganova

7. Jordan Structures and Non-Associative Geometry
Wolfgang Bertram

8. Direct Limits of Infinite-Dimensional Lie Groups
Helge Glöckner

9. Lie Groups of Bundle Automorphisms and Their Extensions
Karl-Hermann Neeb

10. Gerbes and Lie Groups
Christoph Schweigert, Konrad Waldorf

11. Functional Analytic Background for a Theory of Infinite-Dimensional Reductive Lie Groups
Daniel Beltiţă

12. Heat Kernel Measures and Critical Limits
Doug Pickrell

13. Coadjoint Orbits and the Beginnings of a Geometric Representation Theory
Tudor S. Ratiu

14. Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces
Joseph A. Wolf

Keywords: Mathematics, Topological Groups, Lie Groups, Group Theory and Generalizations, Algebra, Geometry, Algebraic Geometry