Planar System and $w_{\infty }$ Algebra

Abstract

We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physicswise the deformed version of $C_{\lambda }$-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 A