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Existence of Tannakian subcategories and its applications

Published 16 Apr 2014 in math.CT and math.QA | (1404.4115v3)

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 solvability and group-theoreticality.

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