On nondiagonal finite quasi-qantum groups over finite abelian groups
发布人: 曹思圆   发布时间: 2019-12-02   浏览次数: 23

报告人:Hasselt大学 张印火教授

邀请人:胡乃红

报告时间:2019年12月2日,  下午1:30-2:30. 

报告地点:数学楼102. 


报告摘要: In this paper, we initiate the study of nondiagonal finite quasi-quantum groups over finite abelian groups. We mainly study the Nichols algebras in the twisted Yetter-Drinfeld module category $_{\k G}^{\k G}\mathcal{YD}^Φ$ with Φ a nonabelian 3-cocycle on a finite abelian group G. A complete clarification is obtained for the Nichols algebra B(V) in case V is a simple twisted Yetter-Drinfeld module of nondiagonal type. This is also applied to provide a complete classification of finite-dimensional coradically graded pointed coquasi-Hopf algebras over abelian groups of odd order and confirm partially the generation conjecture of pointed finite tensor categories due to Etingof, Gelaki, Nikshych and Ostrik. This is a joint work with Hualin Huang and Yuping Yang.


报告人个人简介:张印火教授是比利时Hasselt大学数学终身教授,国际Hopf代数与辫子张量范畴知名专家。