$k$-step nilpotent symplectic Lie algebras associated with graphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914511011708928 |
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| author | Barrionuevo, Josefina Tirao, Paulo Vera, Sonia |
| author_facet | Barrionuevo, Josefina Tirao, Paulo Vera, Sonia |
| contents | We construct families of $k$-step nilpotent symplectic Lie algebras associated with graphs, extending the construction given in [Pouseele-Tirao, JPAA 213 (2009)] for the 2-step case.
We also show that, under mild conditions on the nilpotency type, there exist symplectic Lie algebras of that type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24638 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $k$-step nilpotent symplectic Lie algebras associated with graphs Barrionuevo, Josefina Tirao, Paulo Vera, Sonia Rings and Algebras 53D05, 53D10 (primary), 17B56 (secondary) We construct families of $k$-step nilpotent symplectic Lie algebras associated with graphs, extending the construction given in [Pouseele-Tirao, JPAA 213 (2009)] for the 2-step case. We also show that, under mild conditions on the nilpotency type, there exist symplectic Lie algebras of that type. |
| title | $k$-step nilpotent symplectic Lie algebras associated with graphs |
| topic | Rings and Algebras 53D05, 53D10 (primary), 17B56 (secondary) |
| url | https://arxiv.org/abs/2604.24638 |