 The action on formula_54 by the analytic continuation of KZ equation is called monodromy representation of KZ equation.In particular, if all formula_55 's have spin 1/2 representation then the linear representation obtained from KZ equation agrees with the representation constructed from operator algebra theory by Vaughan Jones.It is known that the monodromy representation of KZ equation with a general semi-simple Lie algebra agrees with the linear representation of braid group given by R-matrix of the corresponding quantum group.