Distinguished non-Archimedean representations
| dc.creator | Anandavardhanan, U. K. | |
| dc.date | 2004-12-23 | |
| dc.date.accessioned | 2026-07-07T05:15:37Z | |
| dc.date.available | 2026-07-07T05:15:37Z | |
| dc.description | For a symmetric space (G,H), one is interested in understanding the vector space of H-invariant linear forms on a representation πof G. In particular an important question is whether or not the dimension of this space is bounded by one. We cover the known results for the pair (G=R_{E/F}GL(n),H=GL(n)), and then discuss the corresponding SL(n) case. In this paper, we show that (G=R_{E/F}SL(n),H=SL(n)) is a Gelfand pair when n is odd. When $n$ is even, the space of H-invariant forms on πcan have dimension more than one even when πis supercuspidal. The latter work is joint with Dipendra Prasad. | |
| dc.identifier | https://arxiv.org/abs/math/0412471 | |
| dc.identifier | http://arxiv.org/abs/math/0412471 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73688 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 22E50; 11F70 | |
| dc.title | Distinguished non-Archimedean representations | |
| dc.type | text |