English

Rank-finiteness for G-crossed braided fusion categories

Quantum Algebra 2019-02-19 v1

Abstract

We establish rank-finiteness for the class of GG-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate braided fusion categories and their centers, which are interesting for their own sake.

Keywords

Cite

@article{arxiv.1902.06165,
  title  = {Rank-finiteness for G-crossed braided fusion categories},
  author = {Corey Jones and Scott Morrison and Dmitri Nikshych and Eric C. Rowell},
  journal= {arXiv preprint arXiv:1902.06165},
  year   = {2019}
}

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11 pages