Local derivations on the Lie algebra $W(2,2)$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916156046049280 |
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| author | Wu, Qingyan Gao, Shoulan Liu, Dong |
| author_facet | Wu, Qingyan Gao, Shoulan Liu, Dong |
| contents | The present paper is devoted to studying local derivations on the Lie algebra $W(2,2)$ which has some outer derivations. Using some linear algebra methods in \cite{CZZ} and a key construction for $W(2,2)$ we prove that every local derivation on $W(2, 2)$ is a derivation. As an application, we determine all local derivations on the deformed $\mathfrak{bms}_3$ algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14626 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Local derivations on the Lie algebra $W(2,2)$ Wu, Qingyan Gao, Shoulan Liu, Dong Rings and Algebras Mathematical Physics 15A06, 17A36, 17B40 The present paper is devoted to studying local derivations on the Lie algebra $W(2,2)$ which has some outer derivations. Using some linear algebra methods in \cite{CZZ} and a key construction for $W(2,2)$ we prove that every local derivation on $W(2, 2)$ is a derivation. As an application, we determine all local derivations on the deformed $\mathfrak{bms}_3$ algebra. |
| title | Local derivations on the Lie algebra $W(2,2)$ |
| topic | Rings and Algebras Mathematical Physics 15A06, 17A36, 17B40 |
| url | https://arxiv.org/abs/2210.14626 |