THE TREE TECHNIQUE AND IRREDUCIBLE TENSOR-OPERATORS FOR THE QUANTUM ALGEBRA SUQ(2) - THE ALGEBRA OF IRREDUCIBLE TENSOR-OPERATORS

The tree technique for the quantum algebra su(q) (2) developed in an e arlier study is used to construct the q analog of the algebra of irred ucible tensor operators. The adjoint action of the algebra su(q) (2) o n irreducible tensor operators is discussed, and the adjoint R matrix is introduced. A set of expressions is obtained for the matrix element s of various irreducible tensor operators and combinations of them. As an application, the recursion relations for the Clebsch-Gordan and Ra cah coefficients of the algebra su(q) (2) are derived.