Distinguished tame supercuspidal representations

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dc.creatorHakim, Jeffrey
dc.creatorMurnaghan, Fiona
dc.date2007-09-21
dc.date.accessioned2026-07-07T08:31:33Z
dc.date.available2026-07-07T08:31:33Z
dc.descriptionThis paper studies the behavior of Jiu-Kang Yu's tame supercuspidal representations relative to involutions of reductive p-adic groups. Symmetric space methods are used to illuminate various aspects of Yu's construction. Necessary conditions for a tame supercuspidal representation of G to be distinguished by (the fixed points of) an involution of G are expressed in terms of properties of the G-orbit of the associated G-datum. When these conditions are satisfied, the question of whether a tame supercuspidal representation is distinguished reduces to the question of whether certain cuspidal representations of finite groups of Lie type are distinguished relative to particular quadratic characters. As an application of the main results, we obtain necessary and sufficient conditions for equivalence of two of Yu's supercuspidal representations associated to distinct G-data.
dc.identifierhttps://arxiv.org/abs/0709.3506
dc.identifierhttp://arxiv.org/abs/0709.3506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138530
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject22E50, 11F70
dc.titleDistinguished tame supercuspidal representations
dc.typetext

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