Simple n-Lie Poisson Algebras
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
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| _version_ | 1866917251436773376 |
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| author | Mashurov, Farukh |
| author_facet | Mashurov, Farukh |
| contents | Let $(A,\cdot,ω)$ be a simple $n$-Lie Poisson algebra over a field of zero characteristic, $ 1 \in A.$ Then we prove that the $n$-Lie algebra $A^{[1]}/(A^{[1]}\cap Z)$ is simple, where $A^{[1]}$ denotes the derived $n$-Lie ideal and $Z$ is the center of $n$-Lie algebra $(A,ω)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05860 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simple n-Lie Poisson Algebras Mashurov, Farukh Rings and Algebras Let $(A,\cdot,ω)$ be a simple $n$-Lie Poisson algebra over a field of zero characteristic, $ 1 \in A.$ Then we prove that the $n$-Lie algebra $A^{[1]}/(A^{[1]}\cap Z)$ is simple, where $A^{[1]}$ denotes the derived $n$-Lie ideal and $Z$ is the center of $n$-Lie algebra $(A,ω)$. |
| title | Simple n-Lie Poisson Algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2602.05860 |