Towards a topological (dual of) quantum κ-Poincaré group

الأصل · EN

We argue that the κ-deformation is related to a factorization of a Lie group, therefore an approproate version of κ-Poincaré does exist on the C*-algebraic level. The explict form of this factorization is computed that leads to an ``action'' of the Lorentz group (with space reflections) considered in Doubly Special Relativity theory. The orbit structure is found and ``the momentum manifold'' is extended in a way that removes singularities of the ``action'' and results in a true action. Some global properties of this manifold are investigated