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Types and Hecke algebras for principal series representations of split reductive p-adic groups

Identifieur interne : 002188 ( Istex/Corpus ); précédent : 002187; suivant : 002189

Types and Hecke algebras for principal series representations of split reductive p-adic groups

Auteurs : Alan Roche

Source :

RBID : ISTEX:A58FF38E003771D24C83E212486FE5138FA010B9

English descriptors

Abstract

Abstract: We construct types in the sense of Bushnell and Kutzko for principal series representations of split connected reductive p-adic groups (with mild restrictions on the residual characteristic) and describe the resulting Hecke algebras. We discuss their interpretation as Iwahori Hecke algebras of related reductive groups (in general disconnected). In addition, we describe how (parabolic) induction and (Jacquet) restriction functors and questions about square-integrability can be transferred to this context.

Url:
DOI: 10.1016/S0012-9593(98)80139-0

Links to Exploration step

ISTEX:A58FF38E003771D24C83E212486FE5138FA010B9

Le document en format XML

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<div type="abstract" xml:lang="en">Abstract: We construct types in the sense of Bushnell and Kutzko for principal series representations of split connected reductive p-adic groups (with mild restrictions on the residual characteristic) and describe the resulting Hecke algebras. We discuss their interpretation as Iwahori Hecke algebras of related reductive groups (in general disconnected). In addition, we describe how (parabolic) induction and (Jacquet) restriction functors and questions about square-integrability can be transferred to this context.</div>
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