New q-minkowski space-time and q-Maxwell equations hierarchy from q-conformal invariance

We propose new q-Maxwell equations which are the first members of an infinite new hierarchy of q-difference equations. We use an indexless formulation in which all indices are traded for two conjugate variables, z, z. We propose also new q-Minkowski coordinates which together with z, z can be interpreted as the six local coordinates of a SUq (2,2) flag manifold.