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