Hopf-algebra description of noncommutative-spacetime symmetries

Abstract

I give a brief summary of the results reported in hep-th 0306013 in collaboration with G. Amelino-Camelia and F. D'Andrea. I focus on the analysis of the symmetries of $\kappa$-Minkowski noncommutative space-time, described in terms of a Weyl map. The commutative space-time notion of Lie-algebra symmetries must be replaced by the one of Hopf-algebra symmetries. However, in the Hopf algebra sense, it is possible to construct an action in $\kappa$-Minkowski which is invariant under a 10-generators Poincaré-like symmetry algebra.

7 pages, LaTex (To appear in the proceedings of 12-th International Colloquium "Quantum Groups and Integrable Systems", Prague, 12-14 June 2003.)