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arXiv · 1212.1926

Twisted global section functor for D-modules on affine Grassmannian

Tsao-Hsien Chen·Giorgia Fortuna
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Abstract

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

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BibTeXRIS

Tsao-Hsien Chen, Giorgia Fortuna. 2012-12-09. Twisted global section functor for D-modules on affine Grassmannian. https://arxiv.org/abs/1212.1926

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