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Coupled double Poisson brackets

math.QA · 2026-05-17 · unverdicted · novelty 7.0

Introduces coupled double Poisson brackets, proves bijection to wheeled Poisson brackets, and gives correspondences to Poisson-left-pre-Lie algebras and Yang-Baxter solutions on free polynomial algebras.

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  • Coupled double Poisson brackets math.QA · 2026-05-17 · unverdicted · none · ref 33

    Introduces coupled double Poisson brackets, proves bijection to wheeled Poisson brackets, and gives correspondences to Poisson-left-pre-Lie algebras and Yang-Baxter solutions on free polynomial algebras.