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Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the generality of the theory.
Keywords: Lie algebroids and subalgebroids; symplectic Lie algebroids; Hamiltonian dynamics; reduction procedure. 
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     author = {David Iglesias and Juan Carlos Marrero and David Mart{\'\i}n de Diego and Eduardo Mart{\'\i}nez and Edith Padr\'on},
     title = {Reduction of {Symplectic} {Lie} {Algebroids} by {a~Lie} {Subalgebroid} and {a~Symmetry} {Lie} {Group}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2007},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a48/}
}
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David Iglesias; Juan Carlos Marrero; David Martín de Diego; Eduardo Martínez; Edith Padrón. Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a48/

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