On the reducibility of scalar generalized Verma modules of Hermitian type

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.

Authors

Jing Jiang

Publication Details

Journal: Journal of Algebra and Its Applications
Published: 2026-07-24
DOI: https://doi.org/10.1142/s0219498828500156
Primary Topic: Algebraic structures and combinatorial models
Type: article
Field-Weighted Citation Impact: 0.00

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article

On the reducibility of scalar generalized Verma modules of Hermitian type

Jing Jiang

Jul 24, 2026

Journal of Algebra and Its Applications

Algebraic structures and combinatorial models

article

On the reducibility of scalar generalized Verma modules of Hermitian type

Jing Jiang

July 24, 2026article en

Abstract

Journal of Algebra and Its Applications

Openalex Percentile: Top 5%

Algebraic structures and combinatorial models

DOI Source OpenAlex

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On the reducibility of scalar generalized Verma modules of Hermitian type — Jing Jiang · Journal of Algebra and Its Applications (2026) | TGRS Research Map | TGRS