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The Relativistic invariant Lie algebra for the kinematical observables in quantum space-time

The deformation of the canonical algebra for the kinematical observables in Minkowski space has been considered under the condition of Lorentz invariance. A new relativistic invariant algebra depends on the fundamental constants M , L and H with the dimensionality of mass, length and action, respectively. In some limit cases the algebra obtained goes over into the wellknown Snyder or Yang algebras. In general case the algebra represents a class of Lie algebras, which are either simple algebras, or semidirect sums of simple algebras and integrable ones. T and C noninvariance for certain algebras of this class have been elucidated. PACS: 11.30.Cp; 11.30.Er; 11.10.Cd; 02.20.Sv