LIAONING NORMAL UNIV, DEPT PHYS, DALIAN 116029, PEOPLES R CHINA
; ACAD SINICA, INST HIGH ENERGY PHYS, BEIJING 100039, PEOPLES R CHINA
A new method for deriving universal R matrices from braid group representation is discussed. In this case, universal R operators can be defined and expressed in terms of products of braid-group generators. The advantage of this method is that matrix elements of R are rank independent, and leaves multiplicity problem-concerning coproducts of the corresponding quantum groups untouched. As examples, R-matrix elements of  x ,  x , [1(2)] x [1(2)], and  x  with multiplicity two for A(n)-type and  x  for B-n-type, C-n-type, and D-n-type quantum groups, which are related to Hecke algebra and Birman-Wenzl algebra, respectively, are derived by using this method.