数学系 Seminar 第 2049 期
数学系“60周年”系庆系列报告
报告主题:Irreducible Yetter-Drinfeld Modules over Quasi-Triangular Hopf Algebras
报告人:朱胜林 教授 (复旦大学)
报告时间:2020年11月13日(周五) 14:15
参会方式:腾讯 会议
会议ID:194 969 096
主办部门:理学院数学系
报告摘要:Let $(H,R)$ be a finite dimensional semisimple and cosemisimple quasi-triangular Hopf algebra over a field $k$. In this talk, by using the Majid's transmuted braided group of $H$ and Ostrik's theorem on characterizing module categories over monoidal categories, we present a structure theorem of irreducible objects of the Yetter-Drinfeld H-module category. The results generalize the structure of Yetter-Drinfeld modules over finite group algebras given byDijkgraaf-Pasquier-Roche and Gould.
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