4 papers
A new criterion for integral modular categorification
Jingcheng Dong, Sebastien Palcoux
A generalization of an argument due to Etingof-Nikshych-Ostrik yields a highly efficient necessary criterion for integral modular categorification. This criterion allows us to comp…
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…
On Grothedieck rings of rank self-dual fusion categories
Jingcheng Dong
Let $\C$ be a self-dual fusion category of rank which has a nontrivial proper fusion subcategory. We identify three new families of Grothendieck rings for $\C$: one of them is…
Near-integral fusion
Jingcheng Dong, Andrew Schopieray
We abstract the study of irreducible characters of finite groups vanishing on all but two conjugacy classes, initiated by S. Gagola, to irreducible characters of fusion rings whose…