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arxiv: 1701.00510 · v1 · pith:6FFQHRWBnew · submitted 2017-01-02 · 🧮 math.QA

Pointed braided tensor categories

classification 🧮 math.QA
keywords categoriesbraidedpointedtensorcenterssymmetrictermsabelian
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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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