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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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
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: 01 May 2002
Last Modified: 16 May 2023 11:32
DOI: 10.1016/S0012-9593(02)01095-9


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