On solvable complete symplectic Lie algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911935445860352 |
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| author | Benyoussef, M. Mansouri, M. W. Sbai, SM. |
| author_facet | Benyoussef, M. Mansouri, M. W. Sbai, SM. |
| contents | In this paper, we are interested in solvable complete Lie algebras, over the field $\K=\R$ or $\mathbb{C}$, which admit a symplectic structure. Specifically, important classes are studied, and a description of complete Lie Algebra with the dimension of nilradical less or equal than six, which supported symplectic structure is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18773 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On solvable complete symplectic Lie algebras Benyoussef, M. Mansouri, M. W. Sbai, SM. Differential Geometry 17B30, 17B60, 17B05, 53D05, 16W25 In this paper, we are interested in solvable complete Lie algebras, over the field $\K=\R$ or $\mathbb{C}$, which admit a symplectic structure. Specifically, important classes are studied, and a description of complete Lie Algebra with the dimension of nilradical less or equal than six, which supported symplectic structure is given. |
| title | On solvable complete symplectic Lie algebras |
| topic | Differential Geometry 17B30, 17B60, 17B05, 53D05, 16W25 |
| url | https://arxiv.org/abs/2406.18773 |