Fusion Subcategories of Representation Categories of Twisted Quantum Doubles of Finite Groups

Academic Article

Abstract

  • We describe all fusion subcategories of the representation category of a twisted quantum double of a finite group. In view of the fact that every group-theoretical braided fusion category can be embedded into a representation category of a twisted quantum double of a finite group, this gives a complete description of all group-theoretical braided fusion categories. We describe the lattice and give formulas for some invariants of the fusion subcategories of representation category of a twisted quantum double of a finite group. We also give a characterization of group-theoretical braided fusion categories as equivariantizations of pointed categories.
  • Authors

  • Naidu, Deepak
  • Nikshych, Dmitri
  • Witherspoon, Sarah
  • Status

    Publication Date

  • 2009
  • Has Subject Area

    Keywords

  • math.CT
  • math.QA
  • Digital Object Identifier (doi)

    Start Page

  • 4183
  • End Page

  • 4219
  • Volume

  • 22
  • Issue

  • 22