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On Types for Unramified $p$-Adic Unitary Groups

  Published:2008-10-01
 Printed: Oct 2008
  • Kazutoshi Kariyama
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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 $p$-adic unitary group, type, supercuspidal representation, Hecke algebra
MSC Classifications: 22E50, 22D99 show english descriptions Representations of Lie and linear algebraic groups over local fields [See also 20G05]
None of the above, but in this section
22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05]
22D99 - None of the above, but in this section
 

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