Hua Sun

activity

20172021

most citedThe Projective Class Rings of a family of pointed Hopf algebras of Rank two

1 citations · 3 across the 5 of their papers we have counts for

collaborators

9 papers

math.NT2021

On a sum involving certain arithmetic functions and the integral part function

Jing Ma, Huayan Sun

In this short, we study sums of the shape $\sum_{n ⩽ x} f ([x / n]) / [x / n],$ where $f$ is Euler totient function $φ$ , Dedekind function $Ψ$ , sum-of-divisors function $σ$ or t…

math.NT2021★ 1 cited

The Average Size of Ramanujan Sums over Cubic Number Fields

Jing Ma, Huayan Sun, Wenguang Zhai

Let K be a cubic number field. In this paper, we study the Ramanujan sums c_{J}(I), where I and J are integral ideals in O_{K}. The asymptotic behaviour of sums of c_{J}(I) over bo…

math.QA2019★ 1 cited

A class of prime fusion categories of dimension $2^{N}$

Jingcheng Dong, Sonia Natale, Hua Sun

We study a class of strictly weakly integral fusion categories $I_{N, ζ}$ , where $N \geq 1$ is a natural number and $ζ$ is a $2^{N}$ th root of unity, that we call $N$ -Isin…

math.QA2018

Braided extensions of a rank $2$ fusion category

Jingcheng Dong, Hua Sun

We classify braided extensions $C$ of a rank $2$ fusion category. The result shows that $C$ is tensor equivalent to a Deligne's tensor product of some known categories, except $C$ …

math.RA2018

Green ring of the category of weight modules over the Hopf-Ore extensions of group algebras

Hua Sun, Hui-Xiang Chen

In this paper, we continue our study of the tensor product structure of category $W$ of weight modules over the Hopf-Ore extensions $k G (χ^{- 1}, a, 0)$ of group algebras $k…

math.RT2018

Tensor product decomposition rules for weight modules over the Hopf-Ore extensions of group algebras