Explicit Minkowski invariance and differential calculus in the quantum space-time

In terms of the R-circumflex matrix of the quantum group SLq(2), the explicit Minkowski coordinate commutation relations in the four-dimensional quantum space-time are given, and the invariance of the Minkowski metric is shown. The differential calculus in this quantum space-time is discussed and the corresponding commutation relations are proposed. (author). 17 refs