Developments and Trends in Infinite-Dimensional Lie Theory (Progress in Mathematics, 288, Band 288)

Libro 99 di 170: Progress in Mathematics

Neeb, Karl-Hermann und Arturo Pianzola:

ISBN 10: 0817647406 ISBN 13: 9780817647407

Editore: Birkhäuser, 2010

Lingua: Inglese

Condizione: Usato - Ottimo Rilegato

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Titolo

Developments and Trends in Infinite-Dimensional Lie Theory (Progress in Mathematics, 288, Band 288)

Editore

Birkh�user

Data di pubblicazione

2010

Lingua

Inglese

ISBN 10

0817647406

ISBN 13

9780817647407

Rilegatura

hardcover

Condizione

Sehr gut

Peso

4 grammi

Cataloghi dei venditori

Varia

Descrizione articolo

Riassunto

This collection of invited expository papers focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics.

Dalla quarta di copertina

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 Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups.

Part (A) is mainly concerned with the structure and representation theory of infinite-dimensional Lie algebras and contains articles on the structure of direct-limit Lie algebras, extended affine Lie algebras and loop algebras, as well as representations of loop algebras and Kac–Moody superalgebras.

The articles in Part (B) examine connections between infinite-dimensional Lie theory and geometry. The topics range from infinite-dimensional groups acting on fiber bundles, corresponding characteristic classes and gerbes, to Jordan-theoretic geometries and new results on direct-limit groups.

The analytic representation theory of infinite-dimensional Lie groups is still very much underdeveloped. The articles in Part (C) develop new, promising methods based on heat kernels, multiplicity freeness, Banach–Lie–Poisson spaces, and infinite-dimensional generalizations of reductive Lie groups.

Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Gl�ckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf.

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