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dc.contributor.authorFrenkel, Edward
dc.contributor.authorGaitsgory, Dennis
dc.date.accessioned2012-12-12T19:21:35Z
dc.date.issued2009
dc.identifier.citationFrenkel, Edward, and Dennis Gaitsgory. 2009. D-modules on the affine flag variety and representations of affine Kac-Moody algebras. Representation Theory 13: 470-608.en_US
dc.identifier.issn1088-4165en_US
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:10043338
dc.description.abstractThe present paper studies the connection between the category of modules over the affine Kac-Moody Lie algebra at the critical level, and the category of D-modules on the affine flag scheme \(G((t))/I\), where \(I\) is the Iwahori subgroup. We prove a localization-type result, which establishes an equivalence between certain subcategories on both sides. We also establish an equivalence between a certain subcategory of Kac-Moody modules, and the category of quasi-coherent sheaves on the scheme of Miura opers for the Langlands dual group, thereby proving a conjecture of the authors in 2006.en_US
dc.description.sponsorshipMathematicsen_US
dc.language.isoen_USen_US
dc.publisherAmerican Mathematical Societyen_US
dc.relation.isversionofdoi:10.1090/S1088-4165-09-00360-4en_US
dc.relation.hasversionhttp://arxiv.org/abs/0712.0788en_US
dash.licenseOAP
dc.subjectalgebraic geometryen_US
dc.subjectrepresentation theoryen_US
dc.titleD-Modules on the Affine Flag Variety and Representations of Affine Kac-Moody Algebrasen_US
dc.typeJournal Articleen_US
dc.description.versionAuthor's Originalen_US
dc.relation.journalRepresentation Theoryen_US
dash.depositing.authorGaitsgory, Dennis
dc.date.available2012-12-12T19:21:35Z
dc.identifier.doi10.1090/S1088-4165-09-00360-4*
dash.contributor.affiliatedGaitsgory, Dennis


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