Covers for Self-dual Supercuspidal Representations of the Siegel Levi Subgroup of Classical p-adic Groups

David Goldberg, Philip Kutzko, Shaun Stevens

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Abstract

We study components of the Bernstein decomposition for a p-adic classical group (with p odd) with inertial support a self-dual positive level supercuspidal representation of a Siegel Levi subgroup. More precisely, we use the method of covers to construct a Bushnell-Kutzko type for such a component. A detailed knowledge of the Hecke algebra of the type should have number-theoretic implications.
Original languageEnglish
Article numberrnm085
JournalInternational Mathematics Research Notices
Volume2007
DOIs
Publication statusPublished - 2007

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