On the $C_λ$-extended $w_{\infty}$-symmetry

Details On the $C_λ$-extended $w_{\infty}$-symmetry On the $C_λ$-extended $w_{\infty}$-symmetry

2003-09-15

arxiv.org/abs/math-ph/0309036v1

Physics

Mathematical Physics

12pages (submitted)

Scientific paper

Starting from the $C_{\lambda}$-extended oscillator algebras, we obtain a new deformed $w_{\infty}$-algebra. More precisely, we show that the $C_{\lambda}$-extended $w_{\infty}$-algebra generators may be expressed via the annihilation and creation operators of the $C_{\lambda}$-extended oscillator algebras $a$ and $a^{\dagger}$ as an infinite-dimensional extension of the realization of $sp(2)$ algebra.

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