Autoequivalences of tensor categories attached to quantum groups at roots of $1$

Academic Article

Abstract

  • We compute the group of braided tensor autoequivalences and the Brauer-Picard group of the representation category of the small quantum group $\mathfrak{u}_q(\mathfrak{g})$, where $q$ is a root of unity.
  • Authors

  • Davydov, Alexei
  • Etingof, Pavel
  • Nikshych, Dmitri
  • Keywords

  • math.CT
  • math.QA
  • math.RT