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We consider the category of finite dimensional representations of the quantum double of a finite group as a modular tensor category.
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Deepak Naidu and Dmitri Nikshych, Lagrangian Subcategories and Braided Tensor Equivalences of Twisted Quantum Doubles of Finite Groups, Comm. Math. Physi. 279, 845-872 (2008)
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Alexei Davydov, Modular invariants for group-theoreticl modular data I, Journal of Algebra, Volume 323, Issue 5, (2010), 1321-1348
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