Beilinson–Bernstein localization
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In mathematics, especially in representation theory and algebraic geometry, the Beilinson–Bernstein localization theorem relates D-modules on flag varieties G/B to representations of the Lie algebra attached to a reductive group G. It was introduced by Beilinson & Bernstein (1981).
Extensions of this theorem include the case of partial flag varieties G/P, where P is a parabolic subgroup in Holland & Polo (1996) and a theorem relating D-modules on the affine Grassmannian to representations of the Kac–Moody algebra in Frenkel & Gaitsgory (2009).