8 papers
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 …
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 $…
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…
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…
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 automorphism…