Intertwining and supercuspidal types for p-adic classical groups

Stevens, S (2001) Intertwining and supercuspidal types for p-adic classical groups. Proceedings of the London Mathematical Society, 83 (1). pp. 120-140. ISSN 0024-6115

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Let F be a non-archimedean local field of residual characteristic different from 2, and let G be a unitary, symplectic or orthogonal group, considered as the fixed point subgroup in = GL(N,F) of an involution s. We generalize the notion of a simple character for , which was introduced by Bushnell and Kutzko [Annals of Mathematics Studies 129 (Princeton University Press, 1993)], to define semisimple characters. Given a semisimple character ? for fixed by s, we transfer it to a character ?- for G and calculate its intertwining. If the torus associated to ?- is maximal compact, we obtain supercuspidal representations of G, which are new if the torus is split only over a wildly ramified extension.

Item Type: Article
Faculty \ School: Faculty of Science
Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Number Theory (former - to 2017)
Faculty of Science > Research Groups > Algebra and Combinatorics
Depositing User: Vishal Gautam
Date Deposited: 01 Jul 2001
Last Modified: 17 May 2023 00:32
DOI: 10.1112/plms/83.1.120


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