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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.20414 |
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| _version_ | 1866910672352182272 |
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| author | Xiong, Zhen |
| author_facet | Xiong, Zhen |
| contents | In this paper, first we introduce the notion of a skew-Hom-Lie algebra and give some examples. Then we study their representations and give the coboundary operator of skew-Hom-Lie algebras. As an application, there have a skew-Hom-Lie algebra $(R^4_2,[\cdot,\cdot]_θ,P)$ in semi-Euclidean spaces. For the null space of Semi-Euclidean spaces, there have a subset $V^*$ of the null space, and $V^*$ is invariant under the actions of $[\cdot,\cdot]_θ$ and $P$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20414 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Skew-Hom-Lie algebras in Semi-Euclidean spaces Xiong, Zhen Mathematical Physics 17B99, 51P05 In this paper, first we introduce the notion of a skew-Hom-Lie algebra and give some examples. Then we study their representations and give the coboundary operator of skew-Hom-Lie algebras. As an application, there have a skew-Hom-Lie algebra $(R^4_2,[\cdot,\cdot]_θ,P)$ in semi-Euclidean spaces. For the null space of Semi-Euclidean spaces, there have a subset $V^*$ of the null space, and $V^*$ is invariant under the actions of $[\cdot,\cdot]_θ$ and $P$. |
| title | Skew-Hom-Lie algebras in Semi-Euclidean spaces |
| topic | Mathematical Physics 17B99, 51P05 |
| url | https://arxiv.org/abs/2410.20414 |