  We unify kappa-Minkowki spacetime and Lorentz algebra in unique Lie algebra.
Introducing commutative momenta, a family of kappa-deformed Heisenberg algebras
and kappa-deformed Poincare algebras are defined. They are specified by the
matrix depending on momenta. We construct all such matrices. Realizations and
star product are defined and analyzed in general and specially, their relation
to coproduct of momenta is pointed out. Hopf algebra of the Poincare algebra,
related to the covariant realization, is presented in unified covariant form.
Left-right dual realizations and dual algebra are introduced and considered.
The generalized involution and the star inner product are analyzed and their
properties are discussed. Partial integration and deformed trace property are
obtained in general. The translation invariance of the star product is pointed
out. Finally, perturbative approach up to the first order in $a$ is presented
in Appendix.
