Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
arXiv:2509.24346
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.
78pages