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Homogeneous Poisson structures

Published online by Cambridge University Press:  17 April 2009

F. Malek  and
A. Shafei Deh Abad
F. Malek
Affiliation:
Department of Mathematics, The University of Tehran, Tehran, Iran e-mail: [email protected]
A. Shafei Deh Abad
Affiliation:
Institute for Studies in Theoretical Physics and Mathematics, IPM, Tehran, Iran and Department of Mathematics, Faculty of Sciences, University of Tehran, Tehran, Iran
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Abstract

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In this paper we provide an algebraic definition for the Schouten product and give a decomposition for homogeneous Poisson structures in any n-dimensional vector space. A large class of n-homogeneous Poisson structures in ℝk is also characterised.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 2 , October 1996 , pp. 203 - 210
Copyright
Copyright © Australian Mathematical Society 1996

References

REFERENCES

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