English

Rank 4 Premodular Categories

Quantum Algebra 2016-12-28 v5

Abstract

We consider the classification problem for rank 4 premodular categories. We uncover a formula for the 2nd Frobenius-Schur indicator of a premodular category, and complete the classification of rank 4 premodular categories (up to Grothendieck equivalence).

Cite

@article{arxiv.1204.4836,
  title  = {Rank 4 Premodular Categories},
  author = {Paul Bruillard},
  journal= {arXiv preprint arXiv:1204.4836},
  year   = {2016}
}

Comments

Removed appendix due to error in proof. Added journal reference

R2 v1 2026-06-21T20:53:02.304Z