Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups

Goldberg, David, Kutzko, Philip and Stevens, Shaun (2007) Covers for self-dual supercuspidal representations of the Siegel Levi subgroup of classical p-adic groups. International Mathematics Research Notices, 2007. ISSN 1073-7928

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://www.ams.org/mathscinet-getitem?mr... http://arxiv.org/abs/math.RT/0610785
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:44
Last Modified:	19 Oct 2025 23:35
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20910
DOI:	10.1093/imrn/rnm085

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