Stability of the local gamma factor in the unitary case
| dc.creator | Brenner, Eliot | |
| dc.date | 2006-08-03 | |
| dc.date.accessioned | 2026-07-07T07:21:22Z | |
| dc.date.available | 2026-07-07T07:21:22Z | |
| dc.description | Rallis and Soudry have proven the stability under twists by highly ramified characters of the local gamma factor arising from the doubling method, in the case of a symplectic group or orthogonal group G over a local non-archimedean field F of characteristic zero, and a representation of G, which is not necessarily generic. This paper extends their arguments to show the stability in the case when G is a unitary group over a quadratic extension E of F, thereby completing the proof of the stability for classical groups. This stability property is important in Cogdell, Piatetski-Shapiro, and Shahidi's use of the converse theorem to prove the existence of a weak lift from automorphic, cuspidal, generic representations of G(A) to automorphic representations of GL(n,A) for appropriate n, to which references are given in the paper of Rallis and Soudry. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608101 | |
| dc.identifier | http://arxiv.org/abs/math/0608101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115279 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 22E50 | |
| dc.title | Stability of the local gamma factor in the unitary case | |
| dc.type | text |