We consider the classification problem for rank 4 premodular categories. We uncover a formula for the 2nd Frobenius-Schur indicator of a premodular category is determined and the classification of rank 4 premodular categories (up to Grothendieck equivalence) is completed. In the appendix we show rank finiteness for premodular categories.
Revised: January 24, 2017 |
Published: September 1, 2016
Citation
Bruillard P.J., C. Galindo, S. Ng, J. Plavnik, E. Rowell, and Z. Wang. 2016.Rank 4 Premodular Categories.New York Journal of Mathematics 22.PNNL-SA-111549.