On Types for Unramified p-Adic Unitary Groups

Kariyama, Kazutoshi

Canadian journal of mathematics, Tome 60 (2008) no. 5, pp. 1067-1107

Résumé

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 $\text{GL}(N,F)$ .

Détail

DOI : 10.4153/CJM-2008-048-7

Mots-clés : 22E50, 22D99, p-adic unitary group, type, supercuspidal representation, Hecke algebra

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