Twisted global section functor for D-modules on affine Grassmannian

2012/12/09 by Tsao-Hsien Chen, Chen, Tsao-Hsien, Giorgia Fortuna +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1212.1926

19 pages, preliminary version

arxiv created 2012/12/09 · openalex publication_date 2012/12/09 · arxiv updated 2012/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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