  Let $\g$ be a complex orthogonal or symplectic Lie algebra and
  $\g'\subset \g$ the Lie subalgebra of rank $\rk \g'=\rk \g-1$ of the same
type. We give an explicit construction of generators of the Mickelsson algebra
$Z_q(\g,\g')$ in terms of Chevalley generators via the R-matrix of $U_q(\g)$.
