{"paper":{"title":"Twisted global section functor for D-modules on affine Grassmannian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Giorgia Fortuna, Tsao-Hsien Chen","submitted_at":"2012-12-09T22:19:39Z","abstract_excerpt":"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 $\\lambda=0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1926","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}