30 citations · 41 across the 12 of their papers we have counts for
13 papers
Some classifications of finite-dimensional Hopf algebras over the Hopf algebra of Kashina
Yihan Wu, Hengyi Wang, Naihong Hu
Let be the -dimensional nontrivial (namely, noncommutative and noncocommutative) semisimple Hopf algebra classified by Kashina. We figure out all simple Yetter…
Harish-Chandra Theorem for the Multi-Parameter Quantum Groups of Okado-Yamane Type
Kaixiang Chen, Naihong Hu, Hengyi Wang
This paper is devoted to studying the centre of the multi-parameter quantum group introduced by Okado and Yamane, where is a complex simple L…
A quantum shuffle approach to quantum affine super algebra of type and its equitable presentation
Xin Zhong, Naihong Hu
In this study, we focus on the positive part of the quantum affine superalgebra . This algebra admits a presentation with two two generators and $e…
-Realization and Its Hopf Superalgebra Structure of
Naihong Hu, Naihuan Jing, Xin Zhong
In this paper, we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra $U_{p, q}(\widehat{\mathfrak{g…
-realization of two-parameter quantum affine algebra in type
Xin Zhong, Naihong Hu, Naihuan Jing
We establish an explicit correspondence between the Drinfeld current algebra presentation for the two-parameter quantum affine algebra and the -ma…
The Ding-Frenkel Isomorphism Theorem for two-parameter quantum affine algebra
Naihong Hu, Xiao Xu, Rushu Zhuang
From the theory of finite-dimensional weight modules, we get the basic braided -matrix of . For its FRT presentation …
-realization of two-parameter quantum affine algebra in type
Rushu Zhuang, Naihong Hu, Xiao Xu
We obtain the basic -matrix of the two-parameter Quantum group via its weight representation theory and determine its -matrix with spe…
Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework
Naihong Hu, Xiao Xu
The classification of one-parameter small quantum groups remains a fascinating open problem. This paper uncovers a novel phenomenon: beyond the Lusztig small quantum groups-equippe…
Harish-Chandra Theorem for Two-parameter Quantum Groups
Naihong Hu, Hengyi Wang
This paper is devoted to investigating the centre of two-parameter quantum groups via establishing the Harish-Chandra homomorphism. Based on the Rosso form…
Enhanced quantum channel uncertainty relations by skew information
Xiaoli Hu, Naihong Hu, Bing Yu +1
By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version…
Automorphism group of Suzuki's Hopf algebra
Yuxing Shi, Naihong Hu
In this paper, we calculate explicitly automorphism group of the Suzuki's Hopf algebra by viewing Yetter-Drinfeld modules as invariants of Hopf algebra automorphisms.
Convex PBW-type Lyndon Bases and Restricted Two-Parameter Quantum Group of Type
Xiaoyu Chen, Naihong Hu, Xiuling Wang
We determine convex PBW-type Lyndon bases for two-parameter quantum groups with detailed commutation relations. We construct a finite-dimensional Hopf algebra $\math…
Convex PBW-Type Lyndon Bases and Restricted Two-parameter Quantum Groups of Type B
Naihong Hu, Xiuling Wang
We construct convex PBW-type Lyndon bases for two-parameter quantum groups U_{r,s}({so}_{2n+1}) with detailed commutation relations. It turns out that under a certain condition, th…