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

Published 29 Sep 2025 in math.RT | (2509.24346v1)

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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