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Making nontrivially associated modular categories from finite groups

M. M. Al-Shomrani·E. J. Beggs
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Abstract

We show that the non-trivially 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 a ribbon category which is the category of representations of a braided Hopf algebra in the category. The definition is shown to be adjoint invariant and multiplicative. A detailed example is given. Finally we show an equivalence of categories between the non-trivially associated double D and the category of representations of the double of the group D(X).

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BibTeXRIS

M. M. Al-Shomrani, E. J. Beggs. 2003-03-05. Making nontrivially associated modular categories from finite groups. https://arxiv.org/abs/math/0303058

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