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arXiv · 2410.09549

Cohomology of Pointed Finite Tensor Categories

Bowen Li·Gongxiang Liu
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Abstract

We consider the finite generation property for cohomology algebra of pointed finite tensor categories via de-equivariantization and exact sequence of finite tensor categories. As a result, we prove that all coradically graded pointed finite tensor categories over abelian groups have finitely generated cohomology.

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Bowen Li, Gongxiang Liu. 2024-10-12. Cohomology of Pointed Finite Tensor Categories. https://arxiv.org/abs/2410.09549

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