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arXiv · 1206.5402

The braided monoidal structures on a class of linear Gr-categories

Hua-Lin Huang·Gongxiang Liu·Yu Ye
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Abstract

A linear Gr-category is a category of finite-dimensional vector spaces graded by a finite group together with natural tensor product. We classify the braided monoidal structures of a class of linear Gr-categories via explicit computations of the 3-cocycles and quasi-bicharacters of finite abelian groups which are direct product of two cyclic groups.

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Hua-Lin Huang, Gongxiang Liu, Yu Ye. 2014-05-16. The braided monoidal structures on a class of linear Gr-categories. https://arxiv.org/abs/1206.5402

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