Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912478804312064 |
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| author | Bai, Chengming Gao, Dongfang |
| author_facet | Bai, Chengming Gao, Dongfang |
| contents | We give the graded anti-pre-Lie algebraic structures on the Witt algebra $\mathcal W$ by the classification of certain indecomposable weight representations of $\mathcal W$. Their classification in the sense of isomorphism is also given. Furthermore, there does not exist a graded anti-pre-Lie algebraic structure on the Virasoro algebra $\mathcal V$ satisfying some natural conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras Bai, Chengming Gao, Dongfang Quantum Algebra Mathematical Physics Rings and Algebras Representation Theory 17B10, 17B65, 17B66, 17B68, 17B70 We give the graded anti-pre-Lie algebraic structures on the Witt algebra $\mathcal W$ by the classification of certain indecomposable weight representations of $\mathcal W$. Their classification in the sense of isomorphism is also given. Furthermore, there does not exist a graded anti-pre-Lie algebraic structure on the Virasoro algebra $\mathcal V$ satisfying some natural conditions. |
| title | Graded anti-pre-Lie algebraic structures on Witt and Virasoro algebras |
| topic | Quantum Algebra Mathematical Physics Rings and Algebras Representation Theory 17B10, 17B65, 17B66, 17B68, 17B70 |
| url | https://arxiv.org/abs/2507.09293 |