English

Modular categories from finite crossed modules

Quantum Algebra 2012-05-15 v2 High Energy Physics - Theory

Abstract

It is known that finite crossed modules provide premodular tensor categories. These categories are in fact modularizable. We construct the modularization and show that it is equivalent to the module category of a finite Drinfeld double.

Keywords

Cite

@article{arxiv.1003.2070,
  title  = {Modular categories from finite crossed modules},
  author = {Jennifer Maier and Christoph Schweigert},
  journal= {arXiv preprint arXiv:1003.2070},
  year   = {2012}
}

Comments

21 pages, typos corrected

R2 v1 2026-06-21T14:56:00.295Z