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http://hdl.handle.net/1942/8421
Title: | Double Poisson algebras | Authors: | VAN DEN BERGH, Michel | Issue Date: | 2008 | Publisher: | AMER MATHEMATICAL SOC | Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 360(11). p. 5711-5769 | Abstract: | 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. | Notes: | Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium. | Keywords: | non-commutative geometry; poly-vector fields; Schouten bracket | Document URI: | http://hdl.handle.net/1942/8421 | ISSN: | 0002-9947 | e-ISSN: | 1088-6850 | ISI #: | 000257949100004 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2009 |
Appears in Collections: | Research publications |
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Double poisson.pdf | 467.67 kB | Adobe PDF | View/Open |
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