The q-Boson Realizations of the Quantum Group $U_{q}(sl(n+1,C))$
  We give explicit expression of recurrency formulae of canonical realization for quantum enveloping algebras $U_{q}(sl(n+1,C))$. In these formulas the generators of the algebra $U_{q}(sl(n+1,C))$ are expressed by means of n-canonical q-boson pairs one auxiliary representation of the algebra $U_{q}(gl(n,C))$. 
C. Burdik, L. Cerny and O. Navratil