学 术 报 告

报告题目:Cell modules of the Green algebras over some Hopf algebras
报告人:李立斌(扬州大学)
报告时间: 2020年11月17日(周二)晚19:00-20:00
报告地点: 线上(腾讯会议 ID：710 432 210)

数学与统计学院

2020.11.16

报告摘要:Cell modules are very useful to study the representation over the group algebra of Coxeter group and the corresponding Hecke algebra with respect to the Kazhdan-Luszting basis, in general, a positively based algebra. The Green algebra of a Hopf algebra is a positively based algebra with a standard basis of the isoclasses of finite dimensional indecomposable modules over the Hopf algebra. In this talk, we study the structures of the cell modules of the Green algebra R(H) over the Hopf algebra, where H is a pointed rank one Hopf algebra or the Drinfeld quantum double of Sweedler’s 4-dimensional Hopf algebra .    This is a joint work with Liufeng Cao, Huixiang Chen and Zhihua Wang .