1. CJM 2008 (vol 60 pp. 1067)
|On Types for Unramified $p$-Adic Unitary Groups |
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