3 papers
math.RT2025
Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
Zhanqiang Bai, Fan Gao, Yutong Wang +1
In this paper, we give an efficient algorithm to compute the Gelfand-Kirillov dimensions of simple highest weight modules of exceptional Lie algebras. By using the Sommers-Achar du…
math.RT2025
On the cells and associated varieties of highest weight Harish-Chandra modules
Zhanqiang Bai, Yixin Bao, Zhao Liang +1
Let be a Hermitian type Lie group with the complexified Lie algebra . We use to denote a highest weight Harish-Chandra -module with infinitesimal chara…
math.RT2024
An explicit characterization of socular simple modules of
Zhanqiang Bai, Wei Xiao, Xun Xie
Let be a simple complex Lie algebra with a Cartan subalgebra . We fix a standard parabolic subalgebra . The socular s…