Algebraic groups over a 2-dimensional local field: some further constructions
| dc.creator | Gaitsgory, Dennis | |
| dc.creator | Kazhdan, David | |
| dc.date | 2004-06-14 | |
| dc.date | 2005-10-19 | |
| dc.date.accessioned | 2026-07-07T06:36:51Z | |
| dc.date.available | 2026-07-07T06:36:51Z | |
| dc.description | In math.RT/0302174 we developed a framework to study representations of groups of the form $G((t))$, where $G$ is an algebraic group over a local field $K$. The main feature of this theory is that natural representations of groups of this kind are not on vector spaces, but rather on pro-vector spaces. In this paper we present some further constructions related to this theory. The main results include: 1) General theorems insuring representability of covariant functors, 2) Study of the functor of semi-invariants, which is an analog of the functor of semi-infinite cohomology for infinite-dimensional Lie algebras, 3) Construction of representations from the moduli space of $G$-bundles on algebraic curve over $K$. | |
| dc.identifier | https://arxiv.org/abs/math/0406282 | |
| dc.identifier | http://arxiv.org/abs/math/0406282 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100221 | |
| dc.subject | Representation Theory | |
| dc.title | Algebraic groups over a 2-dimensional local field: some further constructions | |
| dc.type | text |