Supercuspidal representations: an exhaustion theorem

Details Supercuspidal representations: an exhaustion theorem Supercuspidal representations: an exhaustion theorem

2006-07-11

arxiv.org/abs/math/0607262v1

Mathematics

Representation Theory

final version

Scientific paper

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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