Pointed braided tensor categories
Quantum Algebra
2017-01-04 v1
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.
Cite
@article{arxiv.1701.00510,
title = {Pointed braided tensor categories},
author = {Costel-Gabriel Bontea and Dmitri Nikshych},
journal= {arXiv preprint arXiv:1701.00510},
year = {2017}
}
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33 pages