Computing the Group of Minimal Non-degenerate Extensions of a Super-Tannakian Category

Academic Article


  • We prove an analog of the K\"unneth formula for the groups of minimal non-degenerate extensions arXiv:1602.05936 of symmetric fusion categories. We describe in detail the structure of the group of minimal extensions of a pointed super-Tannakian fusion category. This description resembles that of the third cohomology group of a finite abelian group. We explicitly compute this group in several concrete examples.
  • Status

    Publication Date

  • August 17, 2022
  • Has Subject Area


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

    Start Page

  • 685
  • End Page

  • 711
  • Volume

  • 396
  • Issue

  • 2