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Finite reductive groups : related structures and representations : proceedings of an international conference held in Luminy, France

Author: Marc Cabanes
Publisher: Boston : Birkhäuser, ©1997.
Series: Progress in mathematics (Boston, Mass.), v. 141.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Finite reductive groups.
Boston : Birkhäuser, ©1997
(DLC) 96015820
(OCoLC)34544624
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Marc Cabanes
ISBN: 9781461241249 1461241243 9781461286646 1461286646
OCLC Number: 806178387
Language Note: English and French.
Notes: Papers from the Luminy conference held Oct. 1994.
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Description: 1 online resource (xii, 452 pages) : illustrations.
Details: 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.
Contents: Introduction / Paul Fong --
q-Analogue of a Twisted Group Ring / Susumi Ariki --
Formule des traces sur les corps finis / Anne-Marie Aubert --
Heights of Spin Characters in Characteristic 2 / Christine Bessenrodt and Jorn B. Olsson --
Sur certains elements reguliers des groupes de Weyl et les varietes de Deligne-Lusztig associees / Michel Broue and Jean Michel --
Local Methods for Blocks of Reductive Groups over a Finite Field / Marc Cabanes and Michel Enguehard --
Splitting Fields for Jordan Subgroups / Arjeh M. Cohen and Pham Huu Tiep --
A Norm Map for Endomorphism Algebras of Gelfand-Graev Representations / Charles W. Curtis and Toshiaki Shoji --
Modular Representations of Finite Groups of Lie Type in Non-Defining Characteristic / Meinolf Geck and Gerhard Hiss --
Centers and Simple Modules for Iwahori-Hecke Algebras / Meinolf Geck and Raphael Rouquier --
Quantum Groups, Hall Algebras and Quantized Shuffles / James A. Green.
Series Title: Progress in mathematics (Boston, Mass.), v. 141.
Responsibility: Marc Cabanes, editor.

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 (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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