论文标题

计算超级坦纳基类别的最小非分类扩展

Computing the group of minimal non-degenerate extensions of a super-Tannakian category

论文作者

Nikshych, Dmitri

论文摘要

我们证明了Künneth公式的类似物,用于最小非分类扩展的组:1602.05936对称融合类别。我们详细描述了尖端超级坦纳基融合类别的最小扩展组的结构。该描述类似于有限的阿贝尔小组的第三个同胞小组。我们在几个具体示例中明确计算了这一组。

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.

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