dc.contributor.author | Frenkel, Edward | |
dc.contributor.author | Gaitsgory, Dennis | |
dc.date.accessioned | 2012-12-12T19:21:35Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Frenkel, 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.issn | 1088-4165 | en_US |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:10043338 | |
dc.description.abstract | The 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.sponsorship | Mathematics | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.relation.isversionof | doi:10.1090/S1088-4165-09-00360-4 | en_US |
dc.relation.hasversion | http://arxiv.org/abs/0712.0788 | en_US |
dash.license | OAP | |
dc.subject | algebraic geometry | en_US |
dc.subject | representation theory | en_US |
dc.title | D-Modules on the Affine Flag Variety and Representations of Affine Kac-Moody Algebras | en_US |
dc.type | Journal Article | en_US |
dc.description.version | Author's Original | en_US |
dc.relation.journal | Representation Theory | en_US |
dash.depositing.author | Gaitsgory, Dennis | |
dc.date.available | 2012-12-12T19:21:35Z | |
dc.identifier.doi | 10.1090/S1088-4165-09-00360-4 | * |
dash.contributor.affiliated | Gaitsgory, Dennis | |