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Book
Theory of Group Representations and Fourier Analysis : Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme (Pistoia), Italy, June 25 - July 4, 1970
Author:
ISBN: 3642110118 3642110126 Year: 2011 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Abstract

A. Figá Talamanca: Random Fourier series on compact groups.- S. Helgason: Representations of semisimple Lie groups.- H. Jacquet: Représentations des groupes linéaires p-adiques.- G.W. Mackey: Infinite-dimensional group representations and their applications.

Quantum fields-algebras, processes
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ISBN: 3211816070 3709186005 370918598X 0387816070 9783211816073 9780387816074 Year: 1980 Publisher: Wien Springer


Book
D-modules, representation theory, and quantum groups: lectures given at C.I.M.E. [2:1992: Venezia]
Authors: --- ---
ISBN: 3540574980 0387574980 3540481958 9783540574989 Year: 1993 Volume: 1565 Publisher: Berlin Springer

Finite reductive groups: related structures and representations
Authors: ---
ISBN: 0817638857 3764338857 1461286646 1461241243 9780817638856 9783764338855 Year: 1997 Volume: 141 Publisher: Boston, Mass. Birkhäuser

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Abstract

Finite reductive groups and their representations lie at the heart of goup theory. After representations of finite general linear groups were determined by Green (1955), the subject was revolutionized by the introduction of constructions from l-adic cohomology by Deligne-Lusztig (1976) and by the approach of character-sheaves by Lusztig (1985). The theory now also incorporates the methods of Brauer for the linear representations of finite groups in arbitrary characteristic and the methods of representations of algebras. It has become one of the most active fields of contemporary mathematics. The present volume reflects the richness of the work of experts gathered at an international conference held in Luminy. Linear representations of finite reductive groups (Aubert, Curtis-Shoji, Lehrer, Shoji) and their modular aspects Cabanes Enguehard, Geck-Hiss) go side by side with many related structures: Hecke algebras associated with Coxeter groups (Ariki, Geck-Rouquier, Pfeiffer), complex reflection groups (Broué-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignéras), Lie groups (Cohen-Tiep), symmetric groups (Bessenrodt-Olsson), and general finite groups (Puig). With the illuminating introduction by Paul Fong, the present volume forms the best invitation to the field.


Book
Representation theory of algebraic groups and quantum groups
Author:
ISBN: 0817646965 9786612973611 0817646973 1282973614 Year: 2010 Publisher: New York : Springer Science+Business Media, LLC,

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Abstract

This volume contains invited articles by top-notch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hecke algebras, modular or ordinary representations of finite reductive groups, and representations of complex reflection groups and associated Hecke algebras. Representation Theory of Algebraic Groups and Quantum Groups is intended for graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics. Contributors: H. H. Andersen, S. Ariki, C. Bonnafé, J. Chuang, J. Du, M. Finkelberg, Q. Fu, M. Geck, V. Ginzburg, A. Hida, L. Iancu, N. Jacon, T. Lam, G.I. Lehrer, G. Lusztig, H. Miyachi, S. Naito, H. Nakajima, T. Nakashima, D. Sagaki, Y. Saito, M. Shiota, J. Xiao, F. Xu, R. B. Zhang.

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