%0 Journal Article
%A Castrillón López, Marco
%A Marsden, Jerrold E.
%T Some remarks on Lagrangian and Poisson reduction for field theories
%D 2003
%@ 0393-0440
%U https://hdl.handle.net/20.500.14352/50860
%X Given 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.
%~