On braided fusion categories I
On braided fusion categories I
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DOI：
10.1007/s00029-010-0017-z
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发表时间：
2009-06
期刊：
影响因子：
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通讯作者：
V. Drinfeld;Shlomo Gelaki;D. Nikshych;V. Ostrik
中科院分区：
文献类型：
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作者：
V. Drinfeld;Shlomo Gelaki;D. Nikshych;V. Ostrik
我们引入了辫子融合范畴的核的新概念。它允许分离编织融合范畴中不是来自有限群的部分。在不假定它们是预模的或非退化的情况下，我们还给出了关于辫子融合范畴的已知结果的全面而完备的阐述。我们工作的启发式指导原则是辫子融合范畴和Casimir李代数之间的类比。
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.