Finite dimensional representations of quantum affine algebras at roots of unity
| dc.creator | Beck, Jonathan | |
| dc.creator | Kac, Victor G. | |
| dc.date | 1994-10-25 | |
| dc.date | 1994-11-11 | |
| dc.date.accessioned | 2026-07-07T09:03:48Z | |
| dc.date.available | 2026-07-07T09:03:48Z | |
| dc.description | We describe explicitly the canonical map $χ:$ Spec $\ue(\a{g})\ \rightarrow \ $Spec $\ze$, where $\ue(\a{g})$ is a quantum loop algebra at an odd root of unity $\ve$. Here $\ze$ is the center of $\ue(\a{g})$ and Spec $R$ stands for the set of all finite--dimensional irreducible representations of an algebra $R$. We show that Spec $\ze$ is a Poisson proalgebraic group which is essentially the group of points of $G$ over the regular adeles concentrated at $0$ and $\infty$. Our main result is that the image under $χ$ of Spec $\ue(\a{g})$ is the subgroup of principal adeles. | |
| dc.description | 31 pages. Some notational mistakes are corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9410189 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9410189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149149 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Finite dimensional representations of quantum affine algebras at roots of unity | |
| dc.type | text |