Finite Reductive Groups: Related Structures and Representations, 1997 Proceedings of an International Conference held in Luminy, France Progress in Mathematics Series, Vol. 141

Langue : Anglais

Couverture de l’ouvrage Finite Reductive Groups: Related Structures and Representations

Résumé
Sommaire

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.

q-Analogue of a Twisted Group Ring.- Formule des traces sur les corps finis.- Heights of Spin Characters in Characteristic 2.- Sur certains éléments 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.