报告题目 (Title)：Gelfand-Kirillov dimensions of highest weight modules (最高权模的Gelfand-Kirillov维数)

报告人 (Speaker)：白占强 副教授 (苏州大学)

报告时间 (Time)：2023年11月10日(周五) 14:00

报告地点 (Place)：校本部D123

邀请人(Inviter)：何海安

主办部门：理学院数学系

报告摘要：In this talk, we will introduce the Gelfand-Kirillov dimension and associated variety of highest weight modules of simple Lie algebras. By using Lusztig's a-function we will give an algorithm to compute the Gelfand-Kirillov dimension of highest weight modules of classical type Lie algebras. Finally, we will give a characterization for the associated variety of highest weight Harish-Chandra modules of noncompact Lie groups of Hermitian type.