17 citations · 47 across the 25 of their papers we have counts for
25 papers
The Grothendieck Ring of Strictly Weakly Integral Fusion Categories of Rank 6
Kai Wang, Jingcheng Dong, Libin Li
In this paper, we study strictly weakly integral fusion categories of rank 6 and give a complete classification of their Grothendieck rings. We obtain twelve candidate Grothendieck…
Classification of maximally non-self-dual modular categories of small dimension
Fengshuo Xu, Jingcheng Dong
We prove that a non-pointed maximally non-self-dual (MNSD) modular category of Frobenius-Perron (FP) dimension less than has at most two possible types, and all these types…
Fusion categories containing a fusion subcategory with maximal rank
Jingcheng Dong, Gang Chen, Zhihua Wang
In this paper, we study fusion categories which contain a proper fusion subcategory with maximal rank. They can be viewed as generalizations of near-group fusion categories. We fir…
Classification of certain weakly integral fusion categories
Jingcheng Dong
We prove that braided fusion categories of Frobenius-Perron or are weakly group-theoretical, where are distinct prime numbers, is a square-free na…
Structure, examples and classification for generalized near-group fusion categories
Jingcheng Dong, Hua Sun
We describe the structure of a generalized near-group fusion category and present an example of this class of fusion categories which arises from the extension of a Fibonacci categ…
A class of prime fusion categories of dimension
Jingcheng Dong, Sonia Natale, Hua Sun
We study a class of strictly weakly integral fusion categories , where is a natural number and is a th root of unity, that we call -Isin…