Semisimple strata for p-adic classical groups

Stevens, Shaun (2002) Semisimple strata for p-adic classical groups. Annales Scientifiques de l’École Normale Supérieure, 35 (3). pp. 423-435. ISSN 0012-9593

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Abstract

Let F0 be a non-archimedean local field, of residual characteristic different from 2, and let G be a unitary, symplectic or orthogonal group defined over F0. In this paper, we prove some fundamental results towards the classification of the representations of G via the types of Bushnell and Kutzko. In particular, we show that any positive level supercuspidal representation of G contains a semisimple skew stratum, that is, a special character of a certain compact open subgroup of G. The intertwining of such a stratum has previously been calculated.

Item Type:	Article
Faculty \ School:	Faculty of Science 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)
Depositing User:	Vishal Gautam
Date Deposited:	01 May 2002
Last Modified:	01 Nov 2025 00:37
URI:	https://ueaeprints.uea.ac.uk/id/eprint/18037
DOI:	10.1016/S0012-9593(02)01095-9

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