DIFFERENTIAL STRUCTURE ON κ-MINKOWSKI SPACE, AND κ-POINCARE ALGEBRA

We construct realizations of the generators of the kappa-Minkowski space and kappa-Poincare algebra as formal power series in the h-adic extension of the Weyl algebra. The Hopf algebra structure of the kappa-Poincare algebra related to different realizations is given. We construct realizations of the exterior derivative and one-forms, and define a differential calculus on kappa-Minkowski space which is compatible with the action of the Lorentz algebra. In contrast to the conventional bicovariant calculus, the space of one-forms has the same dimension as the kappa-Minkowski space.