arXiv Open Access 2009

On braided fusion categories I

Vladimir Drinfeld Shlomo Gelaki Dmitri Nikshych Victor Ostrik

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Abstrak

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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math.QA math.RT

Penulis (4)

Vladimir Drinfeld

Shlomo Gelaki

Dmitri Nikshych

Victor Ostrik

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Drinfeld, V., Gelaki, S., Nikshych, D., Ostrik, V. (2009). On braided fusion categories I. https://arxiv.org/abs/0906.0620

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Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓