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) |
|---|---|
| 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