Poisson triple systems
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909693350248448 |
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| author | Bremner, Murray Elgendy, Hader |
| author_facet | Bremner, Murray Elgendy, Hader |
| contents | We introduce Poisson triple systems, which are vector spaces with 3 trilinear operations satisfying 9 polynomial identities of degree 5. We show that every Poisson triple system has a universal enveloping Poisson algebra. Finally, we briefly discuss operadic aspects of Poisson triple systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poisson triple systems Bremner, Murray Elgendy, Hader Rings and Algebras Primary 17B63. Secondary 17A30, 17A40, 17B35, 18M70, 68W30 We introduce Poisson triple systems, which are vector spaces with 3 trilinear operations satisfying 9 polynomial identities of degree 5. We show that every Poisson triple system has a universal enveloping Poisson algebra. Finally, we briefly discuss operadic aspects of Poisson triple systems. |
| title | Poisson triple systems |
| topic | Rings and Algebras Primary 17B63. Secondary 17A30, 17A40, 17B35, 18M70, 68W30 |
| url | https://arxiv.org/abs/2507.13212 |