Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
Zhanqiang Bai, Fan Gao, Yutong Wang, Xun Xie
Published: 2025/9/29
Abstract
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 duality, we also determine the annihilator varieties of these highest weight modules.