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dc.contributor.advisorSchmidt, Ralf
dc.contributor.authorVerNooy, Colin
dc.date.accessioned2019-08-06T15:14:58Z
dc.date.available2019-08-06T15:14:58Z
dc.date.issued2019-08-01
dc.identifier.urihttps://hdl.handle.net/11244/321122
dc.description.abstractAutomorphic representations of the adelic group GSp (4 ,A Q ) are of importance in their relation to Siegel modular forms of degree 2. Given an automorphic representation π of GSp (4 ,A Q ), it decomposes into a product of admissible representations at each place. In the non-archimedean case, many useful results have been produced by Roberts and Schmidt. Here we find some invariants for the case of GSp (4 ,R ), including the K -type structure, the L- and epsilon -factors, and the Gelfand-Kirillov dimension for all irreducible admissible representations.en_US
dc.languageen_USen_US
dc.subjectrepresentation theoryen_US
dc.subjectGSp(4)en_US
dc.subjectsympleptic groupen_US
dc.titleK-types and Invariants for the Representations of GSp(4,R)en_US
dc.contributor.committeeMemberHeyck, Hunter
dc.contributor.committeeMemberPrzebinda, Tomasz
dc.contributor.committeeMemberKujawa, Jonathan
dc.contributor.committeeMemberRoche, Alan
dc.date.manuscript2019-07-26
dc.thesis.degreePh.D.en_US
ou.groupCollege of Arts and Sciences::Department of Mathematicsen_US
shareok.nativefileaccessrestricteden_US


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