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On Types for Unramified $p$-Adic Unitary Groups |
Canad. J. Math. 60(2008), 1067-1107
Published:2008-10-01
Printed: Oct 2008
Printed: Oct 2008
- Kazutoshi Kariyama
Abstract
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
$\GL(N,F)$, 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 $\GL(N,F)$.
| Keywords: | $p$-adic unitary group, type, supercuspidal representation, Hecke algebra |
| MSC Classifications: |
22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05] 22D99 - None of the above, but in this section |