Abstract
We provide a general study on quadratic Poisson structures on a vector space. In particular, we obtain a decomposition for any quadratic Poisson structures. As an application, we classify all the three-dimensional quadratic Poisson structures up to a Poisson diffeomorphism.
Original language | English (US) |
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Pages (from-to) | 33-42 |
Number of pages | 10 |
Journal | Letters in Mathematical Physics |
Volume | 26 |
Issue number | 1 |
DOIs | |
State | Published - Sep 1992 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics