Computing the group of minimal non-degenerate extensions of a super-Tannakian category
Quantum Algebra
2022-11-23 v2 Category Theory
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2201.04076,
title = {Computing the group of minimal non-degenerate extensions of a super-Tannakian category},
author = {Dmitri Nikshych},
journal= {arXiv preprint arXiv:2201.04076},
year = {2022}
}
Comments
29 pages, comments are welcome, v2: minor corrections, added references