Supercuspidal representations: an exhaustion theorem
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 July 2006
 arXiv:
 arXiv:math/0607262
 Bibcode:
 2006math......7262K
 Keywords:

 Mathematics  Representation Theory;
 22E50
 EPrint:
 final version