Poisson triple systems
arXiv:2507.13212 · doi:10.1080/03081087.2022.2053039
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.
11 pages, 2 tables