2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95988We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physicswise the deformed version of $C_λ$-extended Heisenberg algebra and $\om_\infty$ symmetry.10 pages, Seminar given at South African Institute of Physics Conference, University of Free State in Bloemfontein, 29 June to 2 July 2004. Title changed, discussions extended and some equations corrected. Final version accepted to be published in Modern Physics letters AHigh Energy Physics - TheoryPlanar System and $w_\infty$ Algebratext