1-cocycles of the Witt algebra with coefficients in tensor product of modules
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917698310504448 |
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| author | Gao, Shoulan Liu, Dong Pei, Yufeng |
| author_facet | Gao, Shoulan Liu, Dong Pei, Yufeng |
| contents | In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem originally established by Ng and Taft in \cite{NT}. Furthermore, by these 1-cocycles, we determine Lie bialgebra structures over certain infinite-dimensional Lie algebras containing the Witt algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 1-cocycles of the Witt algebra with coefficients in tensor product of modules Gao, Shoulan Liu, Dong Pei, Yufeng Rings and Algebras Mathematical Physics Representation Theory 17B05, 17B62, 17B65, 17B68 In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem originally established by Ng and Taft in \cite{NT}. Furthermore, by these 1-cocycles, we determine Lie bialgebra structures over certain infinite-dimensional Lie algebras containing the Witt algebra. |
| title | 1-cocycles of the Witt algebra with coefficients in tensor product of modules |
| topic | Rings and Algebras Mathematical Physics Representation Theory 17B05, 17B62, 17B65, 17B68 |
| url | https://arxiv.org/abs/2406.12565 |