Showing 2014Show all
2 papers · 1 filter
math.RA2014
On Kaplansky's sixth conjecture
Li Dai, Jingcheng Dong
About years ago, Kaplansky conjectured that the dimension of a semisimple Hopf algebra over an algebraically closed field of characteristic zero is divisible by the dimensions…
math.CT2014
Existence of Tannakian subcategories and its applications
Jingcheng Dong, Li Dai
We study several classes of braided fusion categories, and prove that they all contain nontrivial Tannakian subcategories. As applications, we classify some fusion categories in te…