Singular vectors, characters, and composition series for the N=1 BMS superalgebra
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910759215169536 |
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| author | Jiang, Wei Liu, Dong Pei, Yufeng Zhao, Kaiming |
| author_facet | Jiang, Wei Liu, Dong Pei, Yufeng Zhao, Kaiming |
| contents | This paper investigates the structure of Verma modules over the N=1 BMS superalgebra. We provide a detailed classification of singular vectors, establish necessary and sufficient conditions for the existence of subsingular vectors, uncover the structure of maximal submodules, present the composition series of Verma modules, and derive character formulas for irreducible highest weight modules. As a byproduct, we also explicitly determine all singular vectors, subsingular vectors, and the composition series of Verma modules over the algebra W(2,2). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17000 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular vectors, characters, and composition series for the N=1 BMS superalgebra Jiang, Wei Liu, Dong Pei, Yufeng Zhao, Kaiming Representation Theory Quantum Algebra Rings and Algebras 17B65, 17B68, 17B69, 17B70 (primary), 17B10, 81R10 (secondary) This paper investigates the structure of Verma modules over the N=1 BMS superalgebra. We provide a detailed classification of singular vectors, establish necessary and sufficient conditions for the existence of subsingular vectors, uncover the structure of maximal submodules, present the composition series of Verma modules, and derive character formulas for irreducible highest weight modules. As a byproduct, we also explicitly determine all singular vectors, subsingular vectors, and the composition series of Verma modules over the algebra W(2,2). |
| title | Singular vectors, characters, and composition series for the N=1 BMS superalgebra |
| topic | Representation Theory Quantum Algebra Rings and Algebras 17B65, 17B68, 17B69, 17B70 (primary), 17B10, 81R10 (secondary) |
| url | https://arxiv.org/abs/2412.17000 |