Hua Sun

activity

20152023

most citedPolynomials with palindromic and unimodal coefficients

8 citations · 25 across the 14 of their papers we have counts for

collaborators

14 papers

math.QA2023★ 1 cited

Representations of the small quasi-quantum group

Hua Sun, Hui-Xiang Chen, Yinhuo Zhang

In this paper, we study the representation theory of the small quantum group $U_{q}$ and the small quasi-quantum group $U_{q}$ , where $q$ is a primitive $n$ -th r…

math.QA2023

Representations of Drinfeld Doubles of Radford Hopf algebras

Hua Sun, Hui-Xiang Chen

In this article, we investigate the representations of the Drinfeld doubles $D (R_{mn} (q))$ of the Radford Hopf algebras $R_{mn} (q)$ over an algebraically closed field $k$ , wher…

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.QA2020★ 7 cited

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…

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★ 1 cited

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★ 2 cited

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

Hua Sun, Hui-Xiang Chen

In this paper, we investigate the tensor structure of the category of finite dimensional weight modules over the Hopf-Ore extensions $k G (χ^{- 1}, a, 0)$ of group algebras $k G$ . The…

math.CO2018★ 3 cited

A new class of refined Eulerian polynomials

Hua Sun

In this note we introduce a new class of refined Eulerian polynomials defined by $A_{n} (p, q) = π \in S_{n} \sum p^{odes (π)} q^{edes (π)},$ where $odes (π)$ and…

math.RT2017★ 1 cited

The Projective Class Rings of a family of pointed Hopf algebras of Rank two

Hui-Xiang Chen, Hassan Suleman Esmael Mohammed, Weijun Lin +1

In this paper, we compute the projective class rings of the tensor product $H_{n} (q) = A_{n} (q) \otimes A_{n} (q^{- 1})$ of Taft algebras $A_{n} (q)$ and $A_{n} (q^{- 1})$ , and its cocycle…

math.RA2017

Green rings of Drinfeld Doubles of Taft algebras

Hua Sun, Hassan Suleman Esmael Mohammed, Weijun Lin +1

In this article, we investigate the representation ring (or Green ring) of the Drinfeld double $D (H_{n} (q))$ of the Taft algebra $H_{n} (q)$ , where $n$ is an integer with $n > 2$ and $q$ …

math.CO2016★ 8 cited

Polynomials with palindromic and unimodal coefficients

Hua Sun, Yi Wang, Hai-Xia Zhang

Let $f (q) = a_{r} q^{r} + \dots + a_{s} q^{s}$ , with $a_{r} \neq = 0$ and $a_{s} \neq = 0$ , be a real polynomial. It is a palindromic polynomial of darga $n$ if $r + s = n$ and $a_{r + i} = a_{s - i}$ for all $i$ . P…

math.RT2015

Indecomposable decomposition of tensor products of modules over Drinfeld Doubles of Taft algebras

Hui-Xiang Chen, Hassen Suleman Esmael Mohammed, Hua Sun

In this paper, we study the tensor structure of category of finite dimensional representations of Drinfeld quantum doubles $D (H_{n} (q))$ of Taft Hopf algebras $H_{n} (q)$ . Tensor produc…

Representations of the small quasi-quantum group

Representations of Drinfeld Doubles of Radford Hopf algebras

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

The Average Size of Ramanujan Sums over Cubic Number Fields

Structure, examples and classification for generalized near-group fusion categories

A class of prime fusion categories of dimension 2N

Braided extensions of a rank 2 fusion category

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

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

A new class of refined Eulerian polynomials

The Projective Class Rings of a family of pointed Hopf algebras of Rank two

Green rings of Drinfeld Doubles of Taft algebras

Polynomials with palindromic and unimodal coefficients

Indecomposable decomposition of tensor products of modules over Drinfeld Doubles of Taft algebras

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

Braided extensions of a rank $2$ fusion category