Double Poisson algebras
| dc.creator | Bergh, Michel Van den | |
| dc.date | 2004-10-25 | |
| dc.date | 2007-03-02 | |
| dc.date.accessioned | 2026-07-07T07:49:32Z | |
| dc.date.available | 2026-07-07T07:49:32Z | |
| dc.description | 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. | |
| dc.description | Many misprints and inaccuracies (found by the referee) were corrected | |
| dc.identifier | https://arxiv.org/abs/math/0410528 | |
| dc.identifier | http://arxiv.org/abs/math/0410528 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124885 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 53D30 | |
| dc.title | Double Poisson algebras | |
| dc.type | text |