报告题目：Quasi-Whittaker modules

报 告 人：Kaiming Zhao

所在单位：Wilfrid Laurier University, Waterloo, Canada

报告时间：16:00-17:00, July 20, 2026

报告地点：香蕉视频 伍卓群楼研讨室5

报告摘要:

In this talk, a general setting is proposed to define a class of modules over nonsemisimple Lie algebras induced by a nonperfect ideal. This class of Lie algebras includes many well-known Lie algebras, and some of this class of modules are Whittaker modules and others are not. By introducing a new concept: the Whittaker annihilator for universal quasi-Whittaker modules, we are able to determine the necessary and sufficient conditions for the irreducibility of the universal quasi-Whittaker modules. In the reducible case, we can obtain some maximal submodules. The talk is based on a joint paper with C. Cheng, W. Gao, S. Liu and Y. Zhao.

报告人简介：赵开明，加拿大Wilfrid Laurier大学教授，主要研究方向为李代数。主持多项国家自然科学基金,及加拿大NSERC基金。他在Adv. Math., Tran. AMS, J. Lond. Math. Soc., J. Algebra等国际刊物上发表学术论文100多篇。