From noncommutative space-time to quantum relativistic symmetries with fundamental mass parameter

We consider the simplest class of Lie-algebraic deformations of spacetime algebra, with the selection of κ-deformations as providing quantum deformation of relativistic framework. We recall that the κ-deformation along any direction in Minkowski space can be obtained. Some problems of the formalism of κ-deformations will be considered. We shall comment on the conformal extension of light-like κ-deformation as well as on the applications to astrophysical problems.