Dynamical quantum groups at roots of 1

Academic Article


  • 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.
  • Authors

  • Etingof, P
  • Nikshych, Dmitri
  • Status

    Publication Date

  • May 15, 2001
  • Has Subject Area

    Published In


  • math.QA
  • Digital Object Identifier (doi)

    Start Page

  • 135
  • End Page

  • 168
  • Volume

  • 108
  • Issue

  • 1