Classifying braidings on fusion categories
classification
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fusionbraidingscategoriesmathcalalgebraallowscanonicalcategory
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We show that braidings on a fusion category $\mathcal{C}$ correspond to certain fusion subcategories of the center of $\mathcal{C}$ transversal to the canonical Lagrangian algebra. This allows to classify braidings on non-degenerate and group-theoretical fusion categories.
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