Report Title：Quasi-Whittaker modules
Reporter：Kaiming Zhao
Affiliation: Wilfrid Laurier University, Waterloo, Canada
Report Time: 16:00-17:00, July 20, 2026
Report Location: Fifth Seminar Room, Wu Zhuoqun Building
Abstract:
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.
Bio:
Kaiming Zhao is a professor at Wilfrid Laurier University, Canada. His research focuses primarily on Lie algebras. He has led multiple research projects funded by the National Natural Science Foundation of China and the Natural Sciences and Engineering Research Council of Canada (NSERC). He has published more than 100 research papers in international journals, including Advances in Mathematics, Transactions of the American Mathematical Society, Journal of the London Mathematical Society, and Journal of Algebra.
