D-modules on the affine Grassmannian and representations of affine Kac-Moody algebras

E. Frenkel, D. Gaitsgory

Let $\mathfrak{g}$ be a simple Lie algebra. For a level $\kappa$ (thought of as a symmetric $\mathfrak{g}$-invariant form of $\mathfrak{g}$), let ${\hat{\mathfrak{g}}}_{\kappa }$ be the corresp…