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15 May 2001 Dynamical quantum groups at roots of 1
Pavel Etingof, Dmitri Nikshych
Duke Math. J. 108(1): 135-168 (15 May 2001). DOI: 10.1215/S0012-7094-01-10814-4

Abstract

Given a dynamical twist for a finite-dimensional Hopf algebra, we construct two weak Hopf algebras, using methods of P. Xu and of P. Etingof and A. Varchenko, and we 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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Pavel Etingof. Dmitri Nikshych. "Dynamical quantum groups at roots of 1." Duke Math. J. 108 (1) 135 - 168, 15 May 2001. https://doi.org/10.1215/S0012-7094-01-10814-4

Information

Published: 15 May 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1023.17007
MathSciNet: MR1831822
Digital Object Identifier: 10.1215/S0012-7094-01-10814-4

Subjects:
Primary: 17B37
Secondary: 81R50

Rights: Copyright © 2001 Duke University Press

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Vol.108 • No. 1 • 15 May 2001
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