Pan, F (reprint author), Liaoning Normal Univ, Dept Phys, Dalian 116029, Peoples R China.
Tensor product of irreducible representations of Hecke algebras are discussed. It is found that the tensor product of irreps of Hecke algebras generates representations of Birman-Wenzl algebra C-f(r, q) with r = q(3) or -q(-3). A procedure fbr the evaluation of tensor product coefficients (TPC's) of H-f(q) circle H-f(q) down arrow C-f(r,q) is established when the representations of C-f (r, q) remain irreducible. An example of deriving TPC's of H-f(q) circle H-f (q) down arrow C-f (r, q) is given. It is also found that indecomposable representation of C-4(r, q) occurs in the tensor product  circle .