A Casselman-Shalika formula for the Shalika model of GL_n
| dc.creator | Sakellaridis, Yiannis | |
| dc.date | 2006-06-06 | |
| dc.date.accessioned | 2026-07-07T07:16:58Z | |
| dc.date.available | 2026-07-07T07:16:58Z | |
| dc.description | The Casselman-Shalika method is a way to compute explicit formulas for periods of irreducible unramified representations of p-adic groups that are associated to unique models (i.e. multiplicity-free induced representations). We apply this method to the case of the Shalika model of GL_n, which is known to distinguish lifts from odd orthogonal groups. In the course of our proof, we further develop a variant of the method, that was introduced by Y.Hironaka, and in effect reduce many such problems to straightforward calculations on the group. | |
| dc.description | 23 pages. Accepted for publication in the Canadian Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0606129 | |
| dc.identifier | http://arxiv.org/abs/math/0606129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113781 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.subject | 22E50 (Primary); 11F70, 11F85 (Secondary) | |
| dc.title | A Casselman-Shalika formula for the Shalika model of GL_n | |
| dc.type | text |