Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.13699 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916808698626048 |
|---|---|
| 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 |