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arXiv · 2509.24346

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras

Zhanqiang Bai·Fan Gao·Yutong Wang·Xun Xie
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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.

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Zhanqiang Bai, Fan Gao, Yutong Wang, Xun Xie. 2025-11-09. Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras. https://arxiv.org/abs/2509.24346

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