A progenerator for representations of SL(n,q) in transverse characteristic - Archive ouverte HAL Accéder directement au contenu
Rapport Année : 2011

A progenerator for representations of SL(n,q) in transverse characteristic

Résumé

Let G=GL(n,q), SL(n,q) or PGL(n,q) where q is a power of some prime number p, let U denote a Sylow p-subgroup of G and let R be a commutative ring in which p is invertible. Let D(U) denote the derived subgroup of U and let e be the central primitive idempotent of the group algebra RD(U) corresponding to the projection on the invariant RD(U)-submodule. The aim of this note is to prove that the R-algebras RG and eRGe are Morita equivalent (through the natural functor sending an RG-module M to the eRGe-module eM).
Fichier principal
Vignette du fichier
edu.pdf (72.31 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00578542 , version 1 (21-03-2011)

Identifiants

Citer

Cédric Bonnafé. A progenerator for representations of SL(n,q) in transverse characteristic. 2011. ⟨hal-00578542⟩
93 Consultations
115 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More