English

Classifying braidings on fusion categories

Quantum Algebra 2018-07-27 v2 Representation Theory

Abstract

We show that braidings on a fusion category C\mathcal{C} correspond to certain fusion subcategories of the center of C\mathcal{C} transversal to the canonical Lagrangian algebra. This allows to classify braidings on non-degenerate and group-theoretical fusion categories.

Keywords

Cite

@article{arxiv.1801.06125,
  title  = {Classifying braidings on fusion categories},
  author = {Dmitri Nikshych},
  journal= {arXiv preprint arXiv:1801.06125},
  year   = {2018}
}

Comments

14 pages, minor corrections, new references added

R2 v1 2026-06-22T23:49:02.739Z