dc.contributor.advisor | Roche, Alan | |
dc.contributor.author | Repaka, Subha Sandeep | |
dc.date.accessioned | 2019-05-08T20:30:02Z | |
dc.date.available | 2019-05-08T20:30:02Z | |
dc.date.issued | 2019-05-10 | |
dc.identifier.uri | https://hdl.handle.net/11244/319641 | |
dc.description.abstract | We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for $E/F$ a quadratic extension of p-adic fields the associated unitary group $\mathrm{U}(n,n)$ contains a parabolic subgroup $P$ with Levi component $L$ isomorphic to $\mathrm{GL}_n(E)$. Let $\pi$ be an irreducible supercuspidal representation of $L$ of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation $\iota_P^G \pi$ is reducible. | en_US |
dc.language | en_US | en_US |
dc.subject | Representation Theory of p-adic Groups | en_US |
dc.title | A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE | en_US |
dc.contributor.committeeMember | Lakshimivarahan, Sivaramakrishnan | |
dc.contributor.committeeMember | Przebinda, Tomasz | |
dc.contributor.committeeMember | Pitale, Ameya | |
dc.contributor.committeeMember | Lifschitz, Lucy | |
dc.date.manuscript | 2019-05 | |
dc.thesis.degree | Ph.D. | en_US |
ou.group | College of Arts and Sciences::Department of Mathematics | en_US |