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arXiv · 2510.04215

Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II

Jing Jiang·Siying Wu
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Abstract

Let g be a exceptional complex simple Lie algebra and q be a parabolic subalgebra. A generalized Verma module M is called a scalar generalized Verma module if it is induced from a one-dimensional representation of q. In this paper, we will determine the first diagonal-reducible point of scalar generalized Verma modules associated to minimal parabolic subalgebras of exceptional Lie algebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.

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BibTeXRIS

Jing Jiang, Siying Wu. 2025-10-05. Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II. https://arxiv.org/abs/2510.04215

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