Around Van den Bergh's double brackets

Abstract: The notion of a double Poisson bracket on an associative algebra was introduced by M. Van den Bergh in order to induce a (usual) Poisson bracket on the representation spaces of this algebra. I will start by reviewing the basics of this theory and its relation to other interesting operations, such as Leibniz brackets and $H_0$-Poisson structures. I will then explain some recent results and generalisations related to double Poisson brackets.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar