Distinguished dihedral representations of GL(2) over a p-adic field
| dc.creator | Matringe, Nadir | |
| dc.date | 2006-10-24 | |
| dc.date | 2006-11-03 | |
| dc.date.accessioned | 2026-07-07T07:29:23Z | |
| dc.date.available | 2026-07-07T07:29:23Z | |
| dc.description | Let $F$ be a finite extension of ${\mathbb{Q}} \_p$. Any dihedral supercuspidal representation of $GL \_2 (K)$ arises from an admissible multiplicative character $ω$ of a quadratic extension $L$ of $K$. We show that such a representation is distinguished for $GL \_2 (F)$ if and only if $L$ biquadratic over $F$ and $ω$ restricted to invertibles of one of the two other quadratic extensions of $F$ in $L$ is trivial. We then observe a similar statement for the principal series and we study all dihedral representations. | |
| dc.description | Ce document contient 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610724 | |
| dc.identifier | http://arxiv.org/abs/math/0610724 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118085 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05 ; 20G30 ; 11S31; 11S37 | |
| dc.title | Distinguished dihedral representations of GL(2) over a p-adic field | |
| dc.type | text |