Poisson triple systems

Published 17 Jul 2025 in math.RA | (2507.13212v1)

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.

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