讲座题目：On nondiagonal finite quasi-qantum groups over finite abelian groups 主讲人：张印火 教授 主持人：胡乃红 开始时间：2019-12-02 13:30:00 讲座地址：数学楼102 主办单位：数学科学学院
报告人简介： 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。 报告内容： 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. |
