959 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nanjing Normal UniversityCN12 papers
- Nanjing UniversityCN10 papers
- North China University of Science and TechnologyCN10 papers
- Nanjing Tech UniversityCN9 papers
- Changzhou UniversityCN6 papers
- Institute of Physics, Academia SinicaTW5 papers
- Shanghai Jiao Tong UniversityCN5 papers
- Institute of Theoretical PhysicsCN4 papers
- Nanjing University of Science and TechnologyCN4 papers
- Institute of High Energy PhysicsCN3 papers
- Nanjing Institute of TechnologyCN3 papers
- National Institute for Materials ScienceJP3 papers
9 papers · 1 filter
Rota-Baxter paired modules and their constructions from Hopf algebras
Huihui Zheng, Li Guo, Liangyun Zhang
In this paper, we introduce the concept of a Rota-Baxter paired module to study Rota-Baxter modules without necessarily a Rota-Baxter operator. We obtain two characterizations of R…
On the classification of almost square-free modular categories
Jingcheng Dong, Sonia Natale
Let be a modular category of Frobenius-Perron dimension , where is a prime number and is a square-free integer. We show that if then is integral and nil…
Braided -extensions of pointed fusion categories
Jingcheng Dong
We classify braided -extensions of pointed fusion categories, where is a prime number. As an application, we classify modular categories of Frobenius-Perron dimen…
Integral modular categories of Frobenius-Perron dimension
Jingcheng Dong, Henry Tucker
Integral modular categories of Frobenius-Perron dimension , where and are primes, are considered. It is already known that such categories are group-theoretical in th…
On integral fusion categories with low-dimensional simple objects
Jingcheng Dong, Li Dai
Let be an algebraically closedfield of characteristic zero. In this paper we consider an integral fusion category over in which the Frobenius-Perron dimensions of its simpl…
Weak bimonoids in duoidal categories
Yuanyuan Chen, Gabriella Böhm
Weak bimonoids in duoidal categories are introduced. They provide a common generalization of bimonoids in duoidal categories and of weak bimonoids in braided monoidal categories. U…
On Hopf monoids in duoidal categories
Gabriella Böhm, Yuanyuan Chen, Liangyun Zhang
Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if…
Frobenius property for fusion categories of small integral dimension
Jingcheng Dong, Sonia Natale, Leandro Vendramin
Let k be an algebraically closed field of characteristic zero. In this paper we prove that fusion categories of Frobenius-Perron dimensions 84 and 90 are of Frobenius type. Combini…
The Representations of Quantum Double of Dihedral Groups
Jingcheng Dong, Huixiang Chen
Let be an algebraically closed field of odd characteristic , and let be the dihedral group of order such that . Let denote the quantum double…