Speaker: BAI Zhanqiang, Associate Professor, School of Mathematical Sciences, Soochow University
Venue: Lecture hall, 1st floor, Institute for Advanced Mathematics, No.7 East Teaching Building, Zijingang Campus
The highest weight modules with minimal Gelfand-Kirillov dimension plays an important role in the study of representations of Lie groups and Lie algebras.In this talk，we will give a characterization for these modules for all classical types. Our characterization is given by Young tableaux and the information of highest weights of these modules. We also describe the associated varieties of these modules. This work is a generalization of Joseph’s work on quantization of minimal orbital varieties and is inspired by a question from Binyong Sun.