Research investigates criteria for determining the reducibility of scalar generalized Verma modules, suggesting new insights into representation theory.
Let 𝔤 be a complex simple Lie algebra and M I (λ) be a generalized Verma module induced from a one-dimensional representation of parabolic subalgebra 𝔮. In this paper, we give some criteria to determine the reducibility of scalar generalized Verma modules of Hermitian type and highest weight Harish-Chandra modules.
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Jing Jiang (2026) studied this question.
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