报告题目 (Title)：Tensor product weight modules for the mirror Heisenberg-Virasoro algebra（镜像Heisenberg-Virasoro代数的张量积权模）

报告人 (Speaker)： 郜东方 博士 (南开大学)

报告时间 (Time)：2023年11月13日(周一) 8:00

报告地点 (Place)：校本部 D123

邀请人(Inviter)：孙建才

主办部门：理学院数学系

报告摘要：In this talk, we study irreducible weight modules with infinite dimensional weight spaces over the mirror Heisenberg-Virasoro algebra D. More precisely, the necessary and sufficient conditions for the tensor products of irreducible highest weight modules and irreducible modules of intermediate series over D to be irreducible are determined by using “shifting technique”. This leads to a family of new irreducibleweight modules over D. Then we obtain that any two such tensor products are isomorphic if and only if the corresponding highest weight modules and modules of intermediate series are isomorphic respectively. Also we discuss submodules of the tensor product module when it is not irreducible.