Computing the group of minimal non-degenerate extensions of a super-Tannakian category
arXiv:2201.04076 · doi:10.1007/s00220-022-04478-8
Abstract
We prove an analog of the Künneth 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.
29 pages, comments are welcome, v2: minor corrections, added references
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