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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Abstract

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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	Vishal Gautam
Date Deposited:	01 Jul 2001
Last Modified:	14 Oct 2025 07:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/18184
DOI:	10.1112/plms/83.1.120

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