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 suq (2) developed in an earlier study is used to construct the q analog of the algebra of irreducible tensor operators. The adjoint action of the algebra suq (2) on irreducible tensor operators is discussed, and the adjoint R matrix is introduced. A set of expressions is obtained for the matrix elements of various irreducible tensor operators and combinations of them. As an application, the recursion relations for the Clebsch-Gordan and Racah coefficients of the algebra suq (2) are derived. 16 refs