Dynamical quantum groups at roots of 1
Quantum Algebra
2007-05-23 v1
Abstract
Given a dynamical twist for a finite dimensional Hopf algebra we construct two weak Hopf algebras, using methods of Xu and Etingof-Varchenko, and show that they are dual to each other. We generalize the theory of dynamical quantum groups to the case when the quantum parameter q is a root of unity. These objects turn out to be self-dual -- which is a fundamentally new property, not satisfied by the usual Drinfeld-Jimbo quantum groups.
Cite
@article{arxiv.math/0003221,
title = {Dynamical quantum groups at roots of 1},
author = {Pavel Etingof and Dmitri Nikshych},
journal= {arXiv preprint arXiv:math/0003221},
year = {2007}
}
Comments
ams-latex, 25 pages