Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations
| dc.creator | Gaitsgory, Dennis | |
| dc.creator | Kazhdan, David | |
| dc.date | 2004-09-28 | |
| dc.date | 2005-09-11 | |
| dc.date.accessioned | 2026-07-07T05:12:39Z | |
| dc.date.available | 2026-07-07T05:12:39Z | |
| dc.description | Let $G$ be a split reductive group over a local field $\bK$, and let $G((t))$ be the corresponding loop group. In \cite{GK} we have introduced the notion of a representation of (the group of $\bK$-points) of $G((t))$ on a pro-vector space. In addition, we have defined an induction procedure, which produced $G((t))$-representations from usual smooth representations of $G$. We have conjectured that the induction of a cuspidal irreducible representation of $G$ is irreducible. In this paper we prove this conjecture for $G=SL_2$. | |
| dc.identifier | https://arxiv.org/abs/math/0409543 | |
| dc.identifier | http://arxiv.org/abs/math/0409543 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72655 | |
| dc.subject | Representation Theory | |
| dc.title | Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations | |
| dc.type | text |