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Article Dans Une Revue Comptes Rendus. Mathématique 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).

Dates et versions

hal-01826849 , version 1 (29-06-2018)

Identifiants

Citer

Cédric Bonnafé. A progenerator for representations of SL(n,q) in transverse characteristic. Comptes Rendus. Mathématique, 2011, 349 (13-14), pp.731-733. ⟨10.1016/j.crma.2011.06.008⟩. ⟨hal-01826849⟩
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