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arxiv: math/0703293 · v1 · submitted 2007-03-10 · 🧮 math.QA

Non-commutative quasi-Hamiltonian spaces

Michel Van den Bergh This is my paper
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keywords non-commutativeanaloguesintroducedquasi-hamiltonianspacesalekseevalgebrasauthor
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In this paper we introduce non-commutative analogues for the quasi-Hamiltonian $G$-spaces introduced by Alekseev, Malkin and Meinrenken. We outline the connection with the non-commutative analogues of quasi-Poisson algebras which the author had introduced earlier.

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  1. Coupled double Poisson brackets

    math.QA 2026-05 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.