8 papers
A quiver approach to quasi-quantum groups with the Chevalley property
Jing Yu
In this paper, we develop a quiver approach to coquasi-Hopf algebras with the dual Chevalley property. We introduce a modified generalized path coalgebra $\Bbbk(\mathrm{Q},\mathcal…
Coradically graded Hopf algebras of tame corepresentation type
Jing Yu, Gongxiang Liu
Let be an algebraically closed field of characteristic and let be a finite-dimensional Hopf algebra over with the dual Chevalley property. In this paper, we…
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…
Hopf algebras with the dual Chevalley property of discrete corepresentation type
Jing Yu, Gongxiang Liu
We try to classify Hopf algebras with the dual Chevalley property of discrete corepresentation type over an algebraically closed field with characteristic 0. For such Hop…
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…