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.
"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