Abstract
We exploit SU(N) Schwinger bosons to construct and analyze the coupled irreducible representations of SU(N) × SU(N) in terms of the invariant group. The corresponding projection operators are constructed in terms of the invariant group generators. We also construct SU(N) × SU(N) irreducible Schwinger bosons which directly create these coupled irreducible states. The SU(N) Clebsch-Gordan coefficients are computed as the matrix elements of the projection operators.
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