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arXiv · 0906.0620

On braided fusion categories I

Vladimir Drinfeld·Shlomo Gelaki·Dmitri Nikshych·Victor Ostrik
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Abstract

This work is a detailed version of arXiv:0704.0195 [math.QA]. 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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Vladimir Drinfeld, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik. 2010-02-25. On braided fusion categories I. https://arxiv.org/abs/0906.0620

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