  This note provides a detailed treatment of the Multisymplectic Maxwell theory
through the general setting developed in [24] [26] [27]. In particular we
explore the DeDonder-Weyl theory, the question of algebraic and dynamical
observable forms, the copolarization process related to the good search of
canonical forms. Finally, we give - for the two dimensional case - some
indications for the construction of the higher Lepage-Dedecker correspondence,
in the context of the underlying Grassmannian viewpoint.
