POISSON STRUCTURES: TOWARDS A CLASSIFICATION

Author:

GRABOWSKI J.1,MARMO G.23,PERELOMOV A.M.4

Affiliation:

1. Institute of Mathematics, University of Warsaw, Ul. Banacha 2, 02–097 Warsaw, Poland

2. Dipartimento di Scienze Fisiche, Università di Napoli, Mostra d’Oltremare, Pad. 19, I–80 125 Napoli, Italy

3. Instituto Nazionale di Fisica Nucleare, Sezione di Napoli, Mostra d’Oltremare, Pad. 20, I–80 125 Napoli, Italy

4. Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117 259 Moscow, Russia

Abstract

In the present note we give an explicit description of certain class of Poisson structures. The methods lead to a classification of Poisson structures in low dimensions and suggest a possible approach for higher dimensions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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