2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57503Starting from the $C_λ$-extended oscillator algebras, we obtain a new deformed $w_{\infty}$-algebra. More precisely, we show that the $C_λ$-extended $w_{\infty}$-algebra generators may be expressed via the annihilation and creation operators of the $C_λ$-extended oscillator algebras $a$ and $a^{\dagger}$ as an infinite-dimensional extension of the realization of $sp(2)$ algebra.12pages (submitted)Mathematical Physicstext