On braided fusion categories I

@article{Drinfeld2009OnBF,
  title={On braided fusion categories I},
  author={V. Drinfeld and S. Gelaki and D. Nikshych and V. Ostrik},
  journal={Selecta Mathematica},
  year={2009},
  volume={16},
  pages={1-119}
}
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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