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Více informací o knize Developments and Trends in Infinite-Dimensional Lie Theory

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Anotace knihy

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. Glöckner, 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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Developments and Trends in Infinite-Dimensional Lie Theory
• Autor: Karl-Hermann Neeb, Arturo Pianzola
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 492
• EAN: 9780817647407
• ISBN: 0817647406
• ID: 01399455
• Nakladatelství: Birkhauser Boston Inc
• Hmotnost: 1930 g
• Rozměry: 235 × 155 × 33 mm
• Datum vydání: 28. October 2010

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