Abstract
We introduce a new notion of the core of a braided fusion category. It allows to separate the part of a braided fusion category that does not come from finite groups. We also give a comprehensive and self-contained exposition of the known results on braided fusion categories without assuming them pre-modular or non-degenerate. The guiding heuristic principle of our work is an analogy between braided fusion categories and Casimir Lie algebras.
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To Yuri Ivanovich Manin with admiration.
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Drinfeld, V., Gelaki, S., Nikshych, D. et al. On braided fusion categories I. Sel. Math. New Ser. 16, 1–119 (2010). https://doi.org/10.1007/s00029-010-0017-z
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DOI: https://doi.org/10.1007/s00029-010-0017-z