Dynamical quantum groups at roots of 1
Etingof, Pavel ; Nikshych, Dmitri
Duke Math. J., Tome 110 (2001) no. 1, p. 135-168 / Harvested from Project Euclid
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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.
Publié le : 2001-05-15
Classification:  17B37,  81R50 
@article{1091737126,
     author = {Etingof, Pavel and Nikshych, Dmitri},
     title = {Dynamical quantum groups at roots of 1},
     journal = {Duke Math. J.},
     volume = {110},
     number = {1},
     year = {2001},
     pages = { 135-168},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1091737126}
}

Etingof, Pavel; Nikshych, Dmitri. Dynamical quantum groups at roots of 1. Duke Math. J., Tome 110 (2001) no. 1, pp.  135-168. http://gdmltest.u-ga.fr/item/1091737126/