Structure of parabolically induced modules for affine Kac-Moody algebras
  The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a a construction of many new irreducible modules. 
Vyacheslav Futorny, Iryna Kashuba
math.RT