Admissible unitary completions of locally $Q_p$-rational representations of $GL_2(F)$
| dc.creator | Paskunas, Vytautas | |
| dc.date | 2008-05-07 | |
| dc.date.accessioned | 2026-07-07T09:37:35Z | |
| dc.date.available | 2026-07-07T09:37:35Z | |
| dc.description | Let $F$ be a finite extension of $Q_p$, $p>2$. We construct admissible unitary completions of certain representations of $GL_2(F)$ on $L$-vector spaces, where $L$ is a finite extension of $F$. When $F=Q_p$ using the results of Berger, Breuil and Colmez we obtain some results about lifting 2-dimensional mod $p$ representations of the absolute Galois group of $Q_p$ to crystabelline representations with given Hodge-Tate weights. | |
| dc.description | 44 pages | |
| dc.identifier | https://arxiv.org/abs/0805.1006 | |
| dc.identifier | http://arxiv.org/abs/0805.1006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160511 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.title | Admissible unitary completions of locally $Q_p$-rational representations of $GL_2(F)$ | |
| dc.type | text |