Supercuspidal representation: an exhaustion theorem

• Autores: Ju-Lee Kim
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 20, Nº 2, 2007, págs. 273-320
• Idioma: inglés
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• Resumen

  • Let be a reductive -adic group. We prove that all supercuspidal representations of arise through Yu's construction subject to certain hypotheses on (depending on ). 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