2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65353We describe geometrically the classical and quantum inhomogeneous groups $G_0=(SL(2, \BbbC)\triangleright \BbbC^2)$ and $G_1=(SL(2, \BbbC)\triangleright \BbbC^2)\triangleright \BbbC$ by studying explicitly their shape algebras as a spaces of polynomial functions with a quadratic relations.16 pages, 1 figureQuantum AlgebraGeometrical construction of quantum groups representationstext