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Developments and Trends in Infinite-Dimensional Lie Theory (Hardcover, 2011 ed.) Loot Price: R4,783
Discovery Miles 47 830
Developments and Trends in Infinite-Dimensional Lie Theory (Hardcover, 2011 ed.): Karl-Hermann Neeb, Arturo Pianzola

Developments and Trends in Infinite-Dimensional Lie Theory (Hardcover, 2011 ed.)

Karl-Hermann Neeb, Arturo Pianzola

Series: Progress in Mathematics, 288

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Loot Price R4,783 Discovery Miles 47 830 | Repayment Terms: R448 pm x 12*

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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. Belti, W. Bertram, J. Faulkner, Ph. Gille, H. Glockner, 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."

General

Imprint: Birkhauser Boston
Country of origin: United States
Series: Progress in Mathematics, 288
Release date: October 2010
First published: 2011
Editors: Karl-Hermann Neeb • Arturo Pianzola
Dimensions: 235 x 155 x 26mm (L x W x T)
Format: Hardcover
Pages: 492
Edition: 2011 ed.
ISBN-13: 978-0-8176-4740-7
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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LSN: 0-8176-4740-6
Barcode: 9780817647407

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