Supercuspidal representations: An exhaustion theorem

Kim, Ju-Lee^1, 2

¹ Department of Mathematics, University of Illinois at Chicago, Chicago, Illinois 60607
² Department of Mathematics, Massachusetts Institute of Technology, 2-275, Cambridge, Massachusetts 02139

Journal of the American Mathematical Society, Tome 20 (2007) no. 2, pp. 273-320

Résumé

Let $G$ be a reductive $p$-adic group. We prove that all supercuspidal representations of $G$ arise through Yu’s construction subject to certain hypotheses on $k$ (depending on $G$). As a corollary, under the same hypotheses, we see that any supercuspidal representation is compactly induced from a representation of an open subgroup which is compact modulo the center.

Détail

DOI : 10.1090/S0894-0347-06-00544-3

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