Finite Reductive Groups: Related Structures and Representations: Proceedings of an International Conference held in Luminy, France / Edition 1

by Marc Cabanes

Overview

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.

Product Details

ISBN-13:	9780817638856
Publisher:	Birkhäuser Boston
Publication date:	12/01/1996
Edition description:	1997

Table of Contents

Preface.-Introduction.-q-Analogue of a Twisted Group Ring.-Formule des Traces sur les Corps Finis.-Heights of Spin Characters in Characteristic 2.-Sur Certains elements réguliers des Groupes de Weyl et les Variétés de Deligne-Lusztig associées.-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.-Degrés Relatifs des Algèbres Cyclotomiques Associées aux Groupes de Réflexions 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.