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Developments and Trends in Inifnite-Dimensional Lie Theory

Karl-Hermann Neeb and Arturo Pianzola, editors
Publisher: 
Birkhäuser
Publication Date: 
2011
Number of Pages: 
492
Format: 
Hardcover
Series: 
Progress in Mathematics 288
Price: 
124.00
ISBN: 
9780817647407
Category: 
Anthology
We do not plan to review this book.

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.

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