The Picard crossed module of a braided tensor category

Academic Article


  • For a finite braided tensor category we introduce its Picard crossed module consisting of the group of invertible module categories and the group of braided tensor autoequivalences. We describe the Picard crossed module in terms of braided autoequivalences of the Drinfeld center of the braided tensor category. As an illustration, we compute the Picard crossed module of a braided pointed fusion category.
  • Authors

  • Davydov, Alexei
  • Nikshych, Dmitri
  • Status

    Publication Date

  • 2013
  • Has Subject Area

    Published In


  • Drinfeld center
  • braided autoequivalence
  • braided tensor category
  • invertible module category
  • Digital Object Identifier (doi)

    Start Page

  • 1365
  • End Page

  • 1403
  • Volume

  • 7
  • Issue

  • 6