caa a22 4500 469099445 CHVBK 20180323133040.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF00420516 doi (NATIONALLICENCE)springer-10.1007/BF00420516 On quadratic Poisson structures [Elektronische Daten] [Zhang-Ju Liu, Ping Xu] 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. Kluwer Academic Publishers, 1992 Liu Zhang-Ju Department of Mathematics, University of California, 94720, Berkeley, CA, USA aut Xu Ping Department of Mathematics, University of Pennsylvania, 19104, Philadelphia, PA, USA aut Letters in Mathematical Physics Kluwer Academic Publishers 26/1(1992-09-01), 33-42 0377-9017 26:1<33 1992 26 11005 https://doi.org/10.1007/BF00420516 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00420516 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Zhang-Ju Department of Mathematics, University of California, 94720, Berkeley, CA, USA aut NATIONALLICENCE 700 1- Xu Ping Department of Mathematics, University of Pennsylvania, 19104, Philadelphia, PA, USA aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 26/1(1992-09-01), 33-42 0377-9017 26:1<33 1992 26 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer