Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II
Representation Theory
2025-12-05 v3
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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Cite
@article{arxiv.2510.04215,
title = {Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II},
author = {Jing Jiang and Siying Wu},
journal= {arXiv preprint arXiv:2510.04215},
year = {2025}
}
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34 pages