  Noticing that the space of the solutions of a first order Hamiltonian field
theory has a pre-symplectic structure, we describe a class of conserved charges
on it associated to the momentum map determined by any symmetry group of
transformations. Gauge theories are dealt with by using a symplectic
regularization based on an application of Gotay's coisotropic embedding
theorem. The analysis of Electrodynamics and of the Klein-Gordon theory
illustrates the main results of the theory as well as the emergence of the
energy-momentum tensor algebra of conserved currents.
