Finite reductive groups : related structures and representations : proceedings of an international conference held in Luminy, France /
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 ap...
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| Format: | eBook |
| Language: | English French |
| Language Notes: | English and French. |
| Published: |
Boston :
Birkhäuser,
[1997]
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| Series: | Progress in mathematics (Boston, Mass.) ;
v. 141. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 (Brou-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignras), 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. |
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| Item Description: | Papers from the Luminy conference held Oct. 1994. Electronic resource. |
| Physical Description: | 1 online resource (xii, 452 pages) : illustrations |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781461241249 (electronic bk.) 1461241243 (electronic bk.) |