On non-relativistic conformal symmetries and invariant tensor fields

The largest symmetry group of the Schrodinger equation, the so-called Schrodinger group, is analysed in connection with invariant 2forms, 1-forms and (0,2)-symmetric tensors through the Beckers-Harnad-Perroud-Winternitz global method (1978) developed in the relativistic conformal context. Invariant fields and potentials are obtained and discussed in the physical context of Schrodinger electromagnetism through the corresponding infinitesimal method. Specific attention is paid to magnetic monopole dynamical symmetries. These results are obtained in correspondence with the subalgebra classification determined by using the Patera-Winternitz-Zassenhaus algorithm (1975). The accent is put on the maximal subalgebras of the Schrodinger algebra.