Castrillón López, MarcoMarsden, Jerrold E.2023-06-202023-06-202003-100393-044010.1016/S0393-0440(03)00025-1https://hdl.handle.net/20.500.14352/50860Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson reduction for field theories. The relation of this reduction with the Lagrangian reduction and the Lagrangian and Poisson reduction for electromagnetism are also analyzed.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0393044003000251http://www.sciencedirect.com/restricted access515.14Lagrangian and Poisson reductionField theoriesClassical field theory.Geometria algebraicaTopología1201.01 Geometría Algebraica1210 Topología