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

2012/06/23 by Hua-Lin Huang, Huang, Hua-Lin, Gongxiang Liu +3 · 1 citation
Mathematics · #16T05 #18D10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1206.5402

openalex publication_date 2012/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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