Supercuspidal representations: An exhaustion theorem

Kim, Ju-Lee

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

Supercuspidal representations: An exhaustion theorem
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by Ju-Lee Kim

J. Amer. Math. Soc. 20 (2007), 273-320

DOI: https://doi.org/10.1090/S0894-0347-06-00544-3

Published electronically: October 24, 2006

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Abstract:

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.

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