The local converse theorem for SO(2n+1) and applications
| dc.creator | Jiang, Dihua | |
| dc.creator | Soudry, David | |
| dc.date | 2004-02-16 | |
| dc.date.accessioned | 2026-07-07T05:05:30Z | |
| dc.date.available | 2026-07-07T05:05:30Z | |
| dc.description | In this paper we characterize irreducible generic representations of $\SO_{2n+1}(k)$ where $k$ is a $p$-adic field) by means of twisted local gamma factors (the Local Converse Theorem). As applications, we prove that two irreducible generic cuspidal automorphic representations of $\SO_{2n+1}({\Bbb A})$ (where ${\Bbb A}$ is the ring of adeles of a number field) are equivalent if their local components are equivalent at almost all local places (the Rigidity Theorem);and prove the Local Langlands Reciprocity Conjecture for generic supercuspidal representations of $\SO_{2n+1}(k)$. | |
| dc.description | 64 pages published version | |
| dc.identifier | https://arxiv.org/abs/math/0402265 | |
| dc.identifier | http://arxiv.org/abs/math/0402265 | |
| dc.identifier | Ann. of Math. (2), Vol. 157(2003), no. 3, 743--806 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70189 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.title | The local converse theorem for SO(2n+1) and applications | |
| dc.type | text |