The Hilbert space L2(SU(2)) as a representation space for the group (SU(2) x SU(2)) semi-product S2

The Hilbert space L2(SU(2)) is used as a representation space for a (unitary) representation of the semi-direct product group (SU(2) x SU(2)) semi-product S2 and the corresponding group algebra. Special operators are constructed which are closely related to the representation theory of the groups SU(2) and S2 and are irreducible tensor operators with respect to SU(2) x SU(2)) semi-product S2. These operators are then used to define a complete set of irreducible tensor operators and to calculate two classes of Clebsch-Gordan coefficients of (SU(2) x SU(2)) semi-product S2. (author)