New q-Minkowski space-time and hierarchies of q-difference conformal invariant equations

We propose several new infinite hierarchies of q-conformal invariant q-difference equations, in particular, new q-Maxwell equations as the first member of one of these hierarchies. We use an indexless formulation in which all indices are traded for two conjugate variables, z, (z) over bar. We propose also new q-Minkowski coordinates which together with z, (z) over bar can be interpreted as the six local coordinates of a q-deformation of the SU(2, 2) flag manifold.