Invariant representations of GSp(2) under tensor product with a quadratic character
| dc.creator | Chan, Ping-Shun | |
| dc.date | 2006-12-29 | |
| dc.date.accessioned | 2026-07-07T07:37:41Z | |
| dc.date.available | 2026-07-07T07:37:41Z | |
| dc.description | In the first part of the book, we classify the automorphic representations of {\rm GSp}(2) which are invariant under tensor product with a given quadratic idèle class character, via the lifting of automorphic representations of twisted endoscopic groups. In the second part of the book, we classify the admissible representations of {\rm GSp}(2, k), k a p-adic field, which are invariant under tensor product with a given quadratic character of k^\times. This classification is given in terms of twisted character identities among the admissible representations of {\rm GSp}(2, k) and those of its twisted endoscopic groups. The main tool which we use is the trace formula technique. | |
| dc.description | 164 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612850 | |
| dc.identifier | http://arxiv.org/abs/math/0612850 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120855 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11F70, 11F72, 11F85 | |
| dc.title | Invariant representations of GSp(2) under tensor product with a quadratic character | |
| dc.type | text |