Cohomology of Pointed Finite Tensor Categories

Published 12 Oct 2024 in math.QA and math.RT | (2410.09549v1)

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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