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Pointed braided tensor categories

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.

preprint2017arXivOpen access
Costel-Gabriel BonteaDmitri Nikshych
math.QA
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Open access2 authors1 topic
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Costel-Gabriel BonteaDmitri Nikshych

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