Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912747629838336 |
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| author | Jiang, Jing Wu, Siying |
| author_facet | Jiang, Jing Wu, Siying |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_04215 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II Jiang, Jing Wu, Siying Representation Theory 16S30, 17B10, 17B20, 22E47 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. |
| title | Reducibility of Scalar Generalized Verma Modules of Minimal Parabolic Type II |
| topic | Representation Theory 16S30, 17B10, 17B20, 22E47 |
| url | https://arxiv.org/abs/2510.04215 |