Geometrical construction of quantum groups representations

We 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.Comment: 16 pages, 1 figur