Opérateurs d'entrelacement et algèbres de Hecke avec paramètres d'un groupe réductif p-adique - le cas des groupes classiques

2008/04/28 by Heiermann, Volker · 3 citations
#20C08 #22E50 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0804.4398

Abstract

For G a symplectic or orthogonal p-adic group (not necessarily split), or an inner form of a general linear p-adic group, we compute the endomorphism algebras of some induced projective generators à la Bernstein of the category of smooth representations of G and show that these algebras are isomorphic to the semi-direct product of a Hecke algebra with parameters by a finite group algebra. Our strategy and parts of our intermediate results apply to a general reductive connected p-adic group.

Cited by

• Standard modules and intertwining operators for reductive p-adic groups
• Decomposed Levi subgroups in BD-covers of classical groups
• On some results of Harish-Chandra for representations of p-adic groups, extended to their central extensions

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