Cell modules of the Green algebras over some Hopf algebras
报告人：李立斌教授（扬州大学）
报告时间：2022年4月8日9：00-10：00
腾讯会议号：522-619-008
会议链接：https://meeting.tencent.com/dm/XpX553GHSR1X
摘要：Cell modules are very useful to study the representation over the group algebra of Coxeter group, the corresponding Hecke algebra with respect to the Kazhdan-Luszting basis, and in general, a positively based algebra. The Green algebra of a Hopf algebra is a positively based algebra with a standard basis of the iso-classes 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 finite dimensional pointed rank one Hopf algebra or the Drinfeld quantum double of Sweedler’s 4-dimensional Hopf algebra.
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