Coefficient systems and supersingular representations of $GL_2(F)$
| dc.creator | Paskunas, Vytautas | |
| dc.date | 2004-03-15 | |
| dc.date.accessioned | 2026-07-07T05:06:25Z | |
| dc.date.available | 2026-07-07T05:06:25Z | |
| dc.description | Let $F$ be a non-Archimedean local field with the residual characteristic $p$. We construct a "good" number of smooth irreducible $\bar{\mathbf{F}}_p$-representations of $GL_2(F)$, which are supersingular in the sense of Barthel and Livné. If $F=\mathbf{Q}_p$ then results of Breuil imply that our construction gives all the supersingular representations up to the twist by an unramified quasi-character. We conjecture this is true for arbitrary $F$. | |
| dc.description | 90 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403240 | |
| dc.identifier | http://arxiv.org/abs/math/0403240 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70460 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.subject | 22E50 | |
| dc.title | Coefficient systems and supersingular representations of $GL_2(F)$ | |
| dc.type | text |