  Methods are developed for systematically constructing the finite dimensional
irreducible representations of the super Yangian Y(gl(M|N)) associated with the
Lie superalgebra gl(M|N). It is also shown that every finite dimensional
irreducible representation of Y(gl(M|N)) is of highest weight type, and is
uniquely characterized by a highest weight. The necessary and sufficient
conditions for an irrep to be finite dimensional are given.
