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arXiv · 0810.0032

Fusion subcategories of representation categories of twisted quantum doubles of finite groups

Deepak Naidu·Dmitri Nikshych·Sarah Witherspoon
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Abstract

We describe all fusion subcategories of the representation category of a twisted quantum double of a finite group. In view of the fact that every group-theoretical braided fusion category can be embedded into a representation category of a twisted quantum double of a finite group, this gives a complete description of all group-theoretical braided fusion categories. We describe the lattice and give formulas for some invariants of the fusion subcategories of representation category of a twisted quantum double of a finite group. We also give a characterization of group-theoretical braided fusion categories as equivariantizations of pointed categories.

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Deepak Naidu, Dmitri Nikshych, Sarah Witherspoon. 2009-05-12. Fusion subcategories of representation categories of twisted quantum doubles of finite groups. https://arxiv.org/abs/0810.0032

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