Quantum Poincare group related to the kappa -Poincare algebra

Abstract

The classical r-matrix implied by the quantum kappa -Poincare algebra of Lukierski, Nowicki and Ruegg is used to generate a Poisson structure on the Poincare group. A quantum deformation of the Poincare group (on the Hopf *-algebra level) is obtained by a trivial quantization.