Pointed braided tensor categories

Academic Article


  • We classify finite pointed braided tensor categories admitting a fiber functor in terms of bilinear forms on symmetric Yetter-Drinfeld modules over abelian groups. We describe the groupoid formed by braided equivalences of such categories in terms of certain metric data, generalizing the well-known result of Joyal and Street for fusion categories. We study symmetric centers and ribbon structures of pointed braided tensor categories and examine their Drinfeld centers.
  • Authors

  • Bontea, Costel-Gabriel
  • Nikshych, Dmitri
  • Status

    Publication Date

  • 2019
  • Published In


  • 16T05, 18D10
  • math.QA
  • Digital Object Identifier (doi)

    Start Page

  • 67
  • End Page

  • 94
  • Volume

  • 728