Scalar product for the tensor operators of the quantum algebra. U-q(su(2)) by the Wigner-Eckart theorem

摘要

Tensor operators as the irreducible submodules corresponding to the adjoint representation of the quantum algebra. U-q(su(2)) are equipped with q-analogue of the Hilbert-Schmidt scalar product by using the Wigner-Eckart theorem. Then, it is used to show that the adjoint representation of the quantum algebra. U-q(su(2)) is a *-representation.