Double Poisson algebras

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In this paper we develop Poisson geometry for non-commutative algebras. This generalizes the bi-symplectic geometry which was recently, and independently, introduced by Crawley-Boevey, Etingof and Ginzburg. Our (quasi-)Poisson brackets induce classical (quasi-)Poisson brackets on representation spaces. As an application we show that the moduli spaces of representations associated to the deformed multiplicative preprojective algebras recently introduced by Crawley-Boevey and Shaw carry a natural Poisson structure.
Many misprints and inaccuracies (found by the referee) were corrected

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Quantum Algebra, Rings and Algebras, 53D30

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http://salesiana.dossiersoluciones.com/handle/123456789/124885

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410528
 http://arxiv.org/abs/math/0410528

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arXiv