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Existence of Tannakian subcategories and its applications. (English) Zbl 1342.18014

Authors’ abstract: We study several classes of braided fusion categories, and prove that they all contain nontrivial Tannakian subcategories. As applications, we classify some fusion categories in terms of solvavility and group-theoreticality.

MSC:

18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
16T05 Hopf algebras and their applications
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