The SL(2)-type and Base Change
| dc.creator | Offen, Omer | |
| dc.creator | Sayag, Eitan | |
| dc.date | 2008-08-25 | |
| dc.date.accessioned | 2026-07-07T09:58:24Z | |
| dc.date.available | 2026-07-07T09:58:24Z | |
| dc.description | The SL(2)-type of any smooth, irreducible and unitarizable representation of GL(n) over a p-adic field was defined by Venkatesh. We provide a natural way to extend the definition to all smooth and irreducible representations. For unitarizable representations we show that the SL(2)-type of a representation is preserved under base change with respect to any finite extension. The Klyachko model of a smooth, irreducible and unitarizable representation πof GL(n) depends only on the SL(2)-type of π. As a consequence we observe that the Klyachko model of πand of its base-change are of the same type. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0808.3405 | |
| dc.identifier | http://arxiv.org/abs/0808.3405 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167705 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.title | The SL(2)-type and Base Change | |
| dc.type | text |