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On Types for Unramified p-Adic Unitary Groups

Published online by Cambridge University Press:  20 November 2018

Kazutoshi Kariyama
Kazutoshi Kariyama*
Affiliation:
Department of Economics, Management and Information Science, Onomichi University, Onomichi 722-8506, Japan e-mail:kariyama@onomichi-u.ac.jp
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Abstract

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Let $F$ be a non-archimedean local field of residue characteristic neither 2 nor 3 equipped with a galois involution with fixed field ${{F}_{0}}$, and let $G$ be a symplectic group over $F$ or an unramified unitary group over ${{F}_{0}}$. Following the methods of Bushnell–Kutzko for $\text{GL}(N,F)$, we define an analogue of a simple type attached to a certain skew simple stratum, and realize a type in $G$. In particular, we obtain an irreducible supercuspidal representation of $G$ like $\text{GL}(N,F)$.

Keywords

22E5022D99p-adic unitary grouptypesupercuspidal representationHecke algebra
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 60 , Issue 5 , October 2008 , pp. 1067 - 1107
Copyright
Copyright © Canadian Mathematical Society 2008

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