dc.contributor.advisor | Schmidt, Ralf | |
dc.contributor.author | VerNooy, Colin | |
dc.date.accessioned | 2019-08-06T15:14:58Z | |
dc.date.available | 2019-08-06T15:14:58Z | |
dc.date.issued | 2019-08-01 | |
dc.identifier.uri | https://hdl.handle.net/11244/321122 | |
dc.description.abstract | Automorphic 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.language | en_US | en_US |
dc.subject | representation theory | en_US |
dc.subject | GSp(4) | en_US |
dc.subject | sympleptic group | en_US |
dc.title | K-types and Invariants for the Representations of GSp(4,R) | en_US |
dc.contributor.committeeMember | Heyck, Hunter | |
dc.contributor.committeeMember | Przebinda, Tomasz | |
dc.contributor.committeeMember | Kujawa, Jonathan | |
dc.contributor.committeeMember | Roche, Alan | |
dc.date.manuscript | 2019-07-26 | |
dc.thesis.degree | Ph.D. | en_US |
ou.group | College of Arts and Sciences::Department of Mathematics | en_US |
shareok.nativefileaccess | restricted | en_US |