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Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

D. Iglesias·J. C. Marrero·D. Martin de Diego·E. Martinez·E. Padron
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Abstract

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.

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D. Iglesias, J. C. Marrero, D. Martin de Diego, E. Martinez, E. Padron. 2007-03-16. Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group. https://doi.org/10.3842/sigma.2007.049

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