Showing math.QAShow all
2 papers · 1 filter
math.QA2026
Classification of integral modular data up to rank 13
Max A. Alekseyev, Winfried Bruns, Sebastien Palcoux +1
This paper classifies the modular data of integral modular fusion categories up to rank 13, and integral half-Frobenius fusion rings up to rank 12. We establish that every perfect…
math.QA2025
Classifying integral Grothendieck rings up to rank 5 and beyond
Max A. Alekseyev, Winfried Bruns, Jingcheng Dong +1
In this paper, we define a Grothendieck ring as a fusion ring categorifiable into a fusion category over the complex field. An integral fusion ring is called Drinfeld if all its fo…