  We develop simple computational techniques for constructing all possible
SU(3) representations in terms of irreducible SU(3) Schwinger bosons. We show
that these irreducible Schwinger oscillators make SU(3) representation theory
as simple as SU(2). The new Schwinger oscillators satisfy certain Sp(2,R)
constraints and solve the multiplicity problem as well. These SU(3) techniques
can be generalized to SU(N).
