The braided monoidal structures on a class of linear Gr-categories
arXiv:1206.5402
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.
13 pages Algebr Represent Theor. DOI 10.1007/s10468-013-9445-8