Geometric realizations of affine Kac-Moody algebras
  The goal of the present paper is to obtain new free field realizations of affine Kac-Moody algebras motivated by geometric representation theory for generalized flag manifolds of finite-dimensional semisimple Lie groups. We provide an explicit construction of a large class of irreducible modules associated with certain parabolic subalgebras covering all known special cases. 
Vyacheslav Futorny, Libor K\v{r}i\v{z}ka, Petr Somberg
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