On the C_λ-extended w_∞-symmetry

2003/09/15 by J. Douari, Douari, J., H. El Kinani +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0309036

12pages (submitted)

arxiv created 2003/09/15 · arxiv updated 2009/12/01

Abstract

Starting from the C_λ-extended oscillator algebras, we obtain a new deformed w_∞-algebra. More precisely, we show that the C_λ-extended w_∞-algebra generators may be expressed via the annihilation and creation operators of the C_λ-extended oscillator algebras a and a^† as an infinite-dimensional extension of the realization of sp(2) algebra.

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