汇报标题 (Title)：Gelfand-Kirillov dimensions of highest weight modules (最高权模的Gelfand-Kirillov维数)
汇报人 (Speaker)：白占强 副教授 (信阳大学)
汇报功夫 (Time)：2023年11月10日(周五) 14:00
汇报地址 (Place)：校本部D123
约请人(Inviter)：何海安
主办部门：理学院数学系
汇报提要：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.
