报告题目： Finite quasi-quantum groups over finite abelian groups

报告人：Yinhuo Zhang 教授 （比利时 Hasselt大学）

时间： 2018年11月5日上午9：40-10:40

地点：管理科研楼 数学科学学院1318教室

摘要. In this talk, we study nondiagonal finite quasi-quantum groups over finite abelian groups. We investigate the Nichols algebras in the twisted Yetter-Drinfeld module category  with a nonabelian 3-cocycle on a finite abelian group G. A complete classification is obtained for the Nichols algebra B(V) in case V is a simple twisted Yetter-Drinfeld module of nondiagonal type. This provides a complete classification of finite-dimensional coradically graded pointed coquasi-Hopf algebras over abelian groups of odd order, and confirms partially the generation conjecture of pointed finite tensor categories due to Etingof, Gelaki, Nikshych and Ostrik.

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