Abstract
We examine new algebraic structures which are generated by the SU(n) vector Invariants consisted of oscillator creation and annihilation operators. For analyzing bosonic oscillator systems with internal SU(n) symmetry we introduce both infinite-dimensional Lie algebras and nonstandard polynomial deformations and mutations of finitedimensional oscillator Lie algebras. A spectral analysis of the Fock spaces of initial oscillators is given with respect to the SU(n) invariant algebras under consideration. Some physical applications in composite models of many-body systems are pointed out.
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