Twisted global section functor for D-modules on affine Grassmannian

Abstract

For each integral dominant weight $\lambda$, we construct a twisted global section functor ${\Gamma }^{\lambda }$ from the category of critical twisted $D$-modules on affine Grassmannian to the category of $\lambda$-regular modules of affine Lie algebra at critical level. We proved that ${\Gamma }^{\lambda }$ is exact and faithful. This generalized the work of Frenkel and Gaitsgory in the case when $\lambda =0$.

19 pages, preliminary version

References in corpus (1)

• Lectures on Wakimoto modules, opers and the center at the critical level