4 papers
Simple Yetter-Drinfeld modules over Generalized Liu algebras
Xiangjun Zhen, Gongxiang Liu, Jing Yu
Let be a generalized Liu algebra over an algebraically closed field of characteristic zero. We prove that all simple Yetter-Drinfeld modules over are finite-dimensional…
Coquasitriangular structures on Hopf algebras constructed via abelian extensions
Jing Yu, Xiangjun Zhen
The aim of this paper is to study coquasitriangular structures on a class of cosemisimple Hopf algebras of the form , constructed as abelian extensions…
Simple Yetter-Drinfeld modules over infinite-dimensional Taft algebras
Xiangjun Zhen, Gongxiang Liu, Jing Yu
Let H be an infinite-dimensional Taft algebra over an algebraically closed field k of characteristic 0. We find all the simple Yetter-Drinfeld modules V over H, and classifies thos…
A class of (infinite-dimensional) cosemisimple Hopf algebras constructed via abelian extensions
Jing Yu, Gongxiang Liu, Kun Zhou +1
In this paper, we aim to study abelian extensions for some infinite group. We show that the Hopf algebra constructed through abelian extensions of $\Bbbk…