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arxiv: math-ph/0309036 · v1 · submitted 2003-09-15 · 🧮 math-ph · math.MP

On the C_(λ)-extended w_(infty)-symmetry

classification 🧮 math-ph math.MP
keywords extendedlambdaalgebrainftyalgebrasoscillatorannihilationcreation
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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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