报告人: Professor Kaiming Zhao (Wilfrid Laurier University, Canada)

报告地点: 维格堂119

报告时间：8月10日上午9：00-9：45

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.

邀请人：吕仁才