Kappa-deformations: Historical developments and recent results

Abstract

I shall recall in historical perspective some results from nineties and show further how κ-deformed symmetries and κ-Minkowski space inspired DSR (Doubly of Deformed Special Relativity) approach proposed after 2000. As very recent development I shall show how to describe quantum-covariant κ-deformed phase spaces by passing from Hopf algebras to Hopf algebroids (arXiv:1507.02612) and I will briefly describe the κ-deformations of AdS 5 × S 5 superstring target spaces (arXiv:1510.030.83).