New algebraic structures in the $C_λ$-extended Hamiltonian system

A realization of various algebraic structures in terms of the $C_λ$-extended oscillator algebras is introduced. In particular, the $C_λ$-extended oscillator algebras realization of Fairlie-Fletcher-Zachos (FFZ)algebra is given. This latter lead easily to the realization of the quantum $U_t(sl(2))$ algebra. The new deformed Virasoro algebra is also presented.

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