The projective envelope of a cuspidal representation of a GL[subscript n](F[subscript q])

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dc.contributor.advisorHelm, David, doctor of mathematicsen
dc.contributor.committeeMemberCiperiani, Mireliaen
dc.contributor.committeeMemberRodriquez-Villegas, Fernandoen
dc.contributor.committeeMemberVaaler, Jeffreyen
dc.contributor.committeeMemberWeinstein, Jareden
dc.creatorPaige, David Leeen
dc.date.accessioned2012-10-26T13:52:48Zen
dc.date.accessioned2017-05-11T22:29:05Z
dc.date.available2012-10-26T13:52:48Zen
dc.date.available2017-05-11T22:29:05Z
dc.date.issued2012-08en
dc.date.submittedAugust 2012en
dc.date.updated2012-10-26T13:52:57Zen
dc.descriptiontexten
dc.description.abstractLet l be a prime and let q be a prime power not divisible by l. Put G=GI[subscript n](F[subscript q])and fix a representation pi of G over a sufficiently large finite field, k, of characteristic l, so that pi is cuspidal but not supercuspidal. We compute the W(k)[G]-endomorphism ring of the projective envelope of pi under the assumption that l>n.en
dc.description.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.slug2152/ETD-UT-2012-08-5911en
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2012-08-5911en
dc.language.isoengen
dc.subjectLocal Langlands correspondenceen
dc.subjectCuspidal representationsen
dc.titleThe projective envelope of a cuspidal representation of a GL[subscript n](F[subscript q])en
dc.type.genrethesisen

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