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Search: All articles in the CJM digital archive with keyword supercuspidal representation

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1. CJM 2016 (vol 69 pp. 186)

Pan, Shu-Yen
 $L$-Functoriality for Local Theta Correspondence of Supercuspidal Representations with Unipotent Reduction The preservation principle of local theta correspondences of reductive dual pairs over a $p$-adic field predicts the existence of a sequence of irreducible supercuspidal representations of classical groups. Adams/Harris-Kudla-Sweet have a conjecture about the Langlands parameters for the sequence of supercuspidal representations. In this paper we prove modified versions of their conjectures for the case of supercuspidal representations with unipotent reduction. Keywords:local theta correspondence, supercuspidal representation, preservation principle, Langlands functorialityCategories:22E50, 11F27, 20C33

2. CJM 2008 (vol 60 pp. 1067)

Kariyama, Kazutoshi
 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 algebraCategories:22E50, 22D99
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