On endomorphism algebras of Gelfand-Graev representations II
Résumé
Let G be a connected reductive group defined over a finite field F q of characteristic p, with Deligne-Lusztig dual G *. We show that, over Z[1/pM ] where M is the product of all bad primes for G, the endomorphism ring of a Gelfand-Graev representation of G(F q) is isomorphic to the Grothendieck ring of the category of finite-dimensional F q-representations of G * (F q).
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