3 papers
math.QA2025
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 of…
math.QA2025
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…
math.QA2025
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 F…