2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58296This paper investigates the classical and quantum elementary systems with Newton-Hoooke symmetry. A complete classification is given by explicit computation. In addition, we present an application example of quantization using the Moyal scheme.25 pages, LaTex2eMathematical PhysicsDifferential GeometryGroup TheoryClassical Systems and Representations of (2+1) Newton-Hooke Symmetriestext