Dynamical quantum groups at roots of 1

Details Dynamical quantum groups at roots of 1 Dynamical quantum groups at roots of 1

2000-03-30

arxiv.org/abs/math/0003221v1

Duke Math J. 108 (2001), 135-168.

Mathematics

Quantum Algebra

ams-latex, 25 pages

Scientific paper

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.

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