Integral presentations for the universal R-matrices in quantum current algebras

Abstract:
We consider the quantized current algebras with Drinfeld's coproduct. An integral formula for the universal R-matrix  in terms of total currents will be discussed. Factorization of the universal R-matrix  in two cocycle and integral formulas associated with the standard  coproduct in the case of simplest quantum affine algebra U_q(sl₂) will be presented.