Poisson triple systems
Rings and Algebras
2025-07-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2507.13212,
title = {Poisson triple systems},
author = {Murray Bremner and Hader Elgendy},
journal= {arXiv preprint arXiv:2507.13212},
year = {2025}
}
Comments
11 pages, 2 tables