Abstract
After introducing the generators and irreducible representations of the su(5) and so(6) Lie algebras in terms of the Schwinger's oscillators, the general kernel solutions of the Kostant operators on eight-dimensional quotient spaces su(5)/su(4) × u(1) and so(6)/so(4) × so(2) are derived in terms of the diagonal subalgebras su(4) × u(1) and so(4) × so(2), respectively.
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