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

Physics – Mathematical Physics

Scientific paper

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10 pages

Scientific paper

10.1016/S0375-9601(02)00291-8

A realization of various algebraic structures in terms of the $C_{\lambda}$-extended oscillator algebras is introduced. In particular, the $C_{\lambda}$-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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