Eight-dimensional non completely reducible symplectic Lie algebras
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916808698626048 |
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| author | Aissa, T. Aït Bourkadi, S. El Mansouri, M. W. Sbai, SM. |
| author_facet | Aissa, T. Aït Bourkadi, S. El Mansouri, M. W. Sbai, SM. |
| contents | A non completely reducible symplectic Lie algebra is a symplectic Lie algebra which cannot be symplectically reduced to the trivial symplectic Lie algebra. Our aim is to provide a complete classification, up to symplectomorphism of non completely reducible symplectic Lie algebras in dimensions $n \leq 8$ and, furthermore, to provide a complete description of symplectic Lie algebras admitting one-dimensional isotropic ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13699 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eight-dimensional non completely reducible symplectic Lie algebras Aissa, T. Aït Bourkadi, S. El Mansouri, M. W. Sbai, SM. Symplectic Geometry A non completely reducible symplectic Lie algebra is a symplectic Lie algebra which cannot be symplectically reduced to the trivial symplectic Lie algebra. Our aim is to provide a complete classification, up to symplectomorphism of non completely reducible symplectic Lie algebras in dimensions $n \leq 8$ and, furthermore, to provide a complete description of symplectic Lie algebras admitting one-dimensional isotropic ideals. |
| title | Eight-dimensional non completely reducible symplectic Lie algebras |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2506.13699 |