[en] The initial phase of this work has focused on the description of Uranium compounds and alloys that show only small or moderate mass enhancements. These types of systems have been reported as exhibiting anomalies similar to those observed in the heavy fermion systems. In these systems, the width of the Uranium f level has an appreciable contribution due to f-f overlap, in addition to the indirect overlap due to hybridization with other bands. This, together with the absence of any spectroscopic evidence for the existence of well defined specific f configurations in these metals, has motivated us to examine the properties of an N fold degenerate Hubbard model. 20 refs., 5 figs