On braided fusion categories I
Quantum Algebra
2010-02-25 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.0906.0620,
title = {On braided fusion categories I},
author = {Vladimir Drinfeld and Shlomo Gelaki and Dmitri Nikshych and Victor Ostrik},
journal= {arXiv preprint arXiv:0906.0620},
year = {2010}
}
Comments
102 pages, LaTeX, typos corrected