REPRESENTATION-THEORY OF QUANTIZED POINCARE ALGEBRA - TENSOR-OPERATORS AND THEIR APPLICATIONS TO ONE-PARTICLE SYSTEMS

A representation theory of the quantized Poincare (kappa-Poincare) alg ebra (QPA) is developed. We show that the representations of this alge bra are closely connected with the representations of the nondeformed Poincare algebra. A theory of tensor operators for QPA is considered i n detail. Necessary and sufficient conditions are found in order for s calars to be invariants. Covariant components of the four-momenta and the Pauli-Lubanski vector are explicity constructed. These results are used for the construction of some q-relativistic equations. The Wigne r-Eckart theorem for QPA is proven.