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New algebraic structures in the Cλ-extended Hamiltonian system

E. H. El Kinani

math-pharXiv:math-ph/0309038

Abstract

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

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