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

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Bibliographic Information

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

Marc Cabanes, editor

(Progress in mathematics, v. 141)

Birkhäuser, c1997

  • : us
  • : gw

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Note

English and French

Papers from the Luminy conference held Oct. 1994

Includes bibliographical references

Description and Table of Contents

Volume

: us ISBN 9780817638856

Description

Finite reductive groups and their representations lie at the heart of group theory. This volume treats linear representations of finite reductive groups and their modular aspects together with Hecke algebras, complex reflection groups, quantum groups, arithmetic groups, Lie groups, symmetric groups and general finite groups.

Table of Contents

q-Analogue of a Twisted Group Ring.- Formule des traces sur les corps finis.- Heights of Spin Characters in Characteristic 2.- Sur certains elements reguliers des groupes de Weyl et les varietes de Deligne-Lusztig associees.- Local Methods for Blocks of Reductive Groups over a Finite Field.- Splitting Fields for Jordan Subgroups.- A Norm Map for Endomorphism Algebras of Gelfand-Graev Representations.- Modular Representations of Finite Groups of Lie Type in Non-Defining Characteristic.- Centers and Simple Modules for Iwahori-Hecke Algebras.- Quantum Groups, Hall Algebras and Quantized Shuffles.- Fourier Transforms, Nilpotent Orbits, Hall Polynomials and Green Functions.- Degres relatifs des algebres cyclotomiques associees aux groupes de reflexions complexes de dimension deux.- Character Values of Iwahori-Hecke Algebras of Type B.- The Center of a Block.- Unipotent Characters of Finite Classical Groups.- A propos d'une conjecture de Langlands modulaire.
Volume

: gw ISBN 9783764338855

Description

This volume focuses on the representation theory of groups and related structures, combining the modular representation theory of finite groups of Richard Brauer and the representation theory of reductive groups of George Lusztig.

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