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Kappa-deformation of phase space; generalized Poincare algebras and R-matrix

We deform Heisenberg algebra and corresponding coalgebra by twist. We present undeformed and deformed tensor identities. Coalgebras for the generalized Poincaré algebras have been constructed. The exact universal $R$-matrix for the deformed Heisenberg (co)algebra is found. We show, up to the third order in the deformation parameter, that in the case of $κ$-Poincaré Hopf algebra this $R$-matrix can be expressed in terms of Poincaré generators only. This implies that the states of any number of identical particles can be defined in a $κ$-covariant way.