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arXiv · 1707.05230

Pointed finite tensor categories over abelian groups

Iván Angiono·César Galindo
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Abstract

We give a characterization of finite pointed tensor categories obtained as de-equivariantizations of finite-dimensional pointed Hopf algebras over abelian groups only in terms of the (cohomology class of the) associator of the pointed part. As an application we prove that every coradically graded pointed finite braided tensor category is a de-equivariantization of a finite dimensional pointed Hopf algebras over an abelian group.

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Iván Angiono, César Galindo. 2017-07-17. Pointed finite tensor categories over abelian groups. https://doi.org/10.1142/s0129167x17500872

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