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Finite dimensional representations of quantum affine algebras at roots of unity | Jonathan Beck
; Victor G. Kac
; | Date: |
25 Oct 1994 | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th math.QA | Abstract: | We describe explicitly the canonical map $chi:$ Spec $ue(a{g})
ightarrow $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 $chi$ of Spec $ue(a{g})$ is the subgroup of principal adeles. | Source: | arXiv, hep-th/9410189 | Services: | Forum | Review | PDF | Favorites |
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