208 citations · 302 across the 13 of their papers we have counts for
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hep-th1994
Finite dimensional representations of quantum affine algebras at roots of unity
Jonathan Beck, Victor G. Kac
We describe explicitly the canonical map 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…
hep-th1994★ 84 cited
Convex Bases of PBW type for Quantum Affine Algebras
Jonathan Beck
This note has two purposes. First we establish that the map defined in [L, (a)] is an isomorphism for certain admissible sequences. Second we show the map gives rise to a…
hep-th1994★ 208 cited
Braid Group Action and Quantum Affine Algebras
Jonathan Beck
We lift the lattice of translations in the extended affine Weyl group to a braid group action on the quantum affine algebra. This action fixes the Heisenberg subalgebra pointwise.…