THE CLASSICAL BASIS FOR KAPPA-DEFORMED POINCARE ALGEBRA AND SUPERALGEBRA

We describe here the general solution describing generators of cc-deformed Poincare algebra as the functions of classical Poincare algebra generators as well as the inverse formulas. Further we present analogous relations for the generators of N = 1, D = 4 kappa-deformed Poincare superalgebra expressed by the classical Poincare superalgebra generators. In such a way we obtain the a-deformed Poincare (super)algebras with all the quantum deformation present only in the co-algebra sector. As an application we use the classical basis of kappa-deformed Poincare superalgebra for obtaining a new result: the a-deformation of supersymmetric spin (Pauli-Lubanski) Casimir.