Journal
SELECTA MATHEMATICA-NEW SERIES
Volume 16, Issue 1, Pages 1-119Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00029-010-0017-z
Keywords
Tensor category; Braided tensor category; Equivariantization
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Funding
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0800545] Funding Source: National Science Foundation
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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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