dc.contributor.advisor | ROCHE, ALAN | |
dc.creator | Balasubramanian, Kumar | |
dc.date.accessioned | 2019-04-27T21:32:13Z | |
dc.date.available | 2019-04-27T21:32:13Z | |
dc.date.issued | 2012 | |
dc.identifier | 99278783302042 | |
dc.identifier.uri | https://hdl.handle.net/11244/318945 | |
dc.description.abstract | Let $G$ be the group of $F$-points of a split connected reductive $F$-group over a non-Archimedean local field $F$ of characteristic 0. Let $\pi$ be an irreducible smooth self-dual representation of $G$. The space $W$ of $\pi$ carries a non-degenerate $G$-invariant bilinear form $(\,,\,)$ which is unique up to scaling. The form is easily seen to be symmetric or skew-symmetric and we set $\varepsilon({\pi})=\pm 1$ accordingly. | |
dc.description.abstract | In this thesis, we show that $\varepsilon{(\pi)}=1$ when $\pi$ is a generic representation of $G$ with non-zero vectors fixed under an Iwahori subgroup $I$. | |
dc.format.extent | 63 pages | |
dc.format.medium | application.pdf | |
dc.language | en_US | |
dc.relation.requires | Adobe Acrobat Reader | |
dc.subject | Representations of algebra | |
dc.title | SELF-DUAL REPRESENTATIONS WITH VECTORS FIXED UNDER AN IWAHORI SUBGROUP | |
dc.type | text | |
dc.type | document | |
dc.thesis.degree | Ph.D. | |
ou.group | College of Arts and Sciences::Department of Mathematics | |