Making nontrivially associated modular categories from finite groups

Details Making nontrivially associated modular categories from finite groups Making nontrivially associated modular categories from finite groups

2003-03-05

arxiv.org/abs/math/0303058v1

Mathematics

Quantum Algebra

Approx 43 pages, uses LaTeX picture environment

Scientific paper

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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