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arXiv · 1701.00510

Pointed braided tensor categories

Costel-Gabriel Bontea·Dmitri Nikshych
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Abstract

We classify finite pointed braided tensor categories admitting a fiber functor in terms of bilinear forms on symmetric Yetter-Drinfeld modules over abelian groups. We describe the groupoid formed by braided equivalences of such categories in terms of certain metric data, generalizing the well-known result of Joyal and Street for fusion categories. We study symmetric centers and ribbon structures of pointed braided tensor categories and examine their Drinfeld centers.

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Costel-Gabriel Bontea, Dmitri Nikshych. 2017-01-02. Pointed braided tensor categories. https://arxiv.org/abs/1701.00510

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