fully $\kappa$-covariant way to define states of many identical particles (in any representation) in such a way that there is a one to one correspondence between the states of $\kappa$-deformed theory and the states of undeformed theory.

There have been attempts in the literature to obtain $\kappa$-Poincaré Hopf algebra from the Drinfeld twist, but neither of them so far succeeded to accomplish this completely. Particularly, a full description of deformation of Poincaré algebra in terms of both, the twist and the $R$-matrix is missing. The Abelian twists [@gghmm08],[@Bu:2006dm],[@klry08] and Jordanian twists [@bp09],[@byk09] compatible with $\kappa$-Minkowski spacetime have been constructed. However, the problems with these twists were first that they are not expressed in terms of the Poincaré generators only and the second, that they give rise to a coalgebra that does not close within the $\kappa$-Poincaré algebra, but instead runs out, generally into $\mathcal{U}({\ensuremath{\mathfrak {igl}}}(4)) \otimes \mathcal{U}({\ensuremath{\mathfrak {igl}}}(4))$. On the other side, in Ref.[@Young:2008zm] an attempt was made to find the $R$-matrix that lies within the Poincaré algebra. While the authors succeeded to find the perturbative expansion of the $R$-matrix up to the fifth order in deformation parameter, they failed to construct its exact form. Also, they missed to give 