Quantum affine modules for non-twisted affine Kac-Moody algebras
  We construct new irreducible weight modules over quantum affine algebras of type I with all weight spaces infinite-dimensional. These modules are obtained by parabolic induction from irreducible modules over the Heisenberg subalgebra. 
V. Futorny, J. T. Hartwig, E. A. Wilson
math.QA