  We give character formulae for the positive energy unitary irreducible
representations of the N-extended D=4 conformal superalgebras su(2,2/N). Using
these we also derive decompositions of long superfields as they descend to the
unitarity threshold. These results are also applicable to irreps of the complex
Lie superalgebras sl(4/N). Our derivations use results from the representation
theory of su(2,2/N) developed already in the 80s.
