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Supercuspidal representations: an exhaustion theorem

Ju-Lee Kim
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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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Ju-Lee Kim. 2006-07-11. Supercuspidal representations: an exhaustion theorem. https://arxiv.org/abs/math/0607262

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