Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
classification
🧮 math.DG
math-phmath.MP
keywords
grouphamiltonianreductionsubalgebroidsymmetrysymplecticalgebroidalgebroids
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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.
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