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math.RA2017
On semisimple quasitriangular Hopf algebras of dimension
Jingcheng Dong, Li Dai
Let be a prime number, be an odd square-free natural number, and be a non-negative integer. We prove that a semisimple quasitriangular Hopf algebra of dimension $dq^n…
math.RA2016
Non-trivially graded self-dual fusion categories of rank
Jingcheng Dong, Liangyun Zhang, Li Dai
Let be a self-dual spherical fusion categories of rank with non-trivial grading. We complete the classification of Grothendieck ring of $\mathcal…
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…