Irreducible decomposition for tensor product representations of Jordanian quantum algebras

Tensor products of irreducible representations of the Jordanian quantum algebras U-h(sl(2)) and U-h(su(1, 1)) are considered. For both the highest weight finite-dimensional representations of U-h (sl(2)) and the lowest weight infinite-dimensional ones of U-h (su(1, 1)), it is shown that tensor product representations are reducible and that the decomposition rules to irreducible representations are exactly the same as those of corresponding Lie algebras.