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2008 A Note on Poisson Lie Algebroids
Liviu Popescu
J. Geom. Symmetry Phys. 12: 63-73 (2008). DOI: 10.7546/jgsp-12-2008-63-73


In this paper we study some properties of a Lie algebroid and its prolongation over the vector bundle projection of the dual bundle. We generalize some results on Poisson manifolds to the level of a Lie algebroid. The notions of canonical Poisson bivector and horizontal lift are studied and their compatibility conditions are pointed out.


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Liviu Popescu. "A Note on Poisson Lie Algebroids." J. Geom. Symmetry Phys. 12 63 - 73, 2008.


Published: 2008
First available in Project Euclid: 24 May 2017

zbMATH: 1157.53326
MathSciNet: MR2498780
Digital Object Identifier: 10.7546/jgsp-12-2008-63-73

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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