M. M. Al-Shomrani, E. J. Beggs, "Making nontrivially associated modular categories from finite groups", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 238947, 34 pages, 2004. https://doi.org/10.1155/S0161171204308203
Making nontrivially associated modular categories from finite groups
We show that the double of the nontrivially associated tensor category constructed from left coset representatives of a subgroup of a finite group is a modular category. Also we give a definition of the character of an object in this category as an element of a braided Hopf algebra in the category. This definition is shown to be adjoint invariant and multiplicative on tensor products. A detailed example is given. Finally, we show an equivalence of categories between the nontrivially associated double and the trivially associated category of representations of the Drinfeld double of the group .
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