Irreducible Modules for the Quantum Affine Algebra $U_q(g)$ and its   Borel subalgebra $U_q(g)^{\geq 0}$
  We prove a bijection between finite-dimensional irreducible modules for an arbitrary quantum affine algebra $U_q(g)$ and finite-dimensional irreducible modules for its Borel subalgebra $U_q(g)^{\geq 0}$. 
John Bowman