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author:
- 'S. Meljanac'
- 'A. Samsarov'
- 'R. Štrajn'
---

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[**$\kappa$-deformation of phase space; generalized Poincaré algebras and $R$-matrix**]{}

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Introduction
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Quantum field theory (QFT) appeared as a result of the attempt to construct a theory that describes the many-particle systems in accord with the quantum mechanical principles and the principles of special relativity. The Poincaré symmetry is thus incorporated in the theory from the very beginning. It is believed that for particles with very high energies the gravity effects become significant [@Dop1], so that these particles no more see the spacetime as smooth and continuous, but instead they see it as quantized and fuzzy. The QFT constructed on such deformed manifolds requires a new framework. Such framework is provided by the noncommutative geometry, where the search for the diffeomorphisms leaving spacetime invariant leads to deformation of Poincaré symmetry, with $\kappa$-deformed Poincaré symmetry being among the most extensively studied [@Luk1],[@MR],[@k-gn02]. Much interest has been generated in the study of the physical consequences emerging from the $\kappa$-deformation of Poincaré symmetry, e.g. construction of field theories [@klm00],[@klry09],[@ms11],[@mstw11], electrodynamics [@hjm11],[@dj11] and geodesic equation [@Harikumar:2012zi] on 