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The braided monoidal structures on a class of linear Gr-categories
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The braided monoidal structures on a class of linear Gr-categories
classification
math.QA
keywords
linearbraidedclassfinitegr-categoriesgroupsmonoidalproduct
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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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