Finite dimensional representations of quantum affine algebras at roots of unity

Details Finite dimensional representations of quantum affine algebras at roots of unity Finite dimensional representations of quantum affine algebras at roots of unity

1994-10-25

arxiv.org/abs/hep-th/9410189v3

Physics

High Energy Physics

High Energy Physics - Theory

31 pages. Some notational mistakes are corrected

Scientific paper

We describe explicitly the canonical map $\chi:$ 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 $\chi$ of Spec $\ue(\a{g})$ is the subgroup of principal adeles.

Affiliated with

Also associated with

No associations

Rating

Finite dimensional representations of quantum affine algebras at roots of unity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Finite dimensional representations of quantum affine algebras at roots of unity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite dimensional representations of quantum affine algebras at roots of unity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314619