Modified double Poisson brackets

[摘要] We propose a non-skew-symmetric generalization of the original definition of double Poisson Bracket by M. Van den Bergh. It allows one to explicitly construct a more general class of H-0-Poisson structures on finitely generated associative algebras. We show that modified double Poisson brackets inherit certain major properties of the double Poisson brackets. (C) 2017 Published by Elsevier Inc.

[发布日期] 2017-12-15

[关键词] Poisson brackets;Noncommutative geometry;Representation algebras;Integrable systems