Semisimple characters for p-adic classical groups

Stevens, Shaun (2005) Semisimple characters for p-adic classical groups. Duke Mathematical Journal, 127 (1). pp. 123-173. ISSN 0012-7094

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Let G be a unitary, symplectic, or orthogonal group over a non-Archimedean local field of residual characteristic different from 2, considered as the fixed-point subgroup in a general linear group of an involution. Following previous work of Bushnell and Kutzko, and of the author, we generalize the notion of a semisimple character for and for G. In particular, following the formalism of Bushnell and Henniart, we show that these semisimple characters have certain functorial properties. Finally, we show that any positive level supercuspidal representation of G contains a semisimple character.

Item Type: Article
Faculty \ School: Faculty of Science
Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Algebra and Combinatorics
Faculty of Science > Research Groups > Number Theory (former - to 2017)
Depositing User: Vishal Gautam
Date Deposited: 15 Mar 2005
Last Modified: 17 May 2023 00:04
DOI: 10.1215/S0012-7094-04-12714-9


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