On Multigraded Generalizations of Kirillov-Reshetikhin Modules

dc.creatorBianchi, A
dc.creatorChari, V
dc.creatorFourier, G
dc.creatorMoura, A
dc.date2014
dc.dateAPR
dc.date2014-07-30T17:47:10Z
dc.date2015-11-26T16:51:01Z
dc.date2014-07-30T17:47:10Z
dc.date2015-11-26T16:51:01Z
dc.date.accessioned2018-03-28T23:37:49Z
dc.date.available2018-03-28T23:37:49Z
dc.identifierAlgebras And Representation Theory. Springer, v. 17, n. 2, n. 519, n. 538, 2014.
dc.identifier1386-923X
dc.identifier1572-9079
dc.identifierWOS:000333347700008
dc.identifier10.1007/s10468-013-9408-0
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/67657
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/67657
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1275881
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe study the category of -graded modules with finite-dimensional graded pieces for certain -graded Lie algebras. We also consider certain Serre subcategories with finitely many isomorphism classes of simple objects. We construct projective resolutions for the simple modules in these categories and compute the Ext groups between simple modules. We show that the projective covers of the simple modules in these Serre subcategories can be regarded as multigraded generalizations of Kirillov-Reshetikhin modules and give a recursive formula for computing their graded characters.
dc.description17
dc.description2
dc.description519
dc.description538
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionNSF [DMS-0901253]
dc.descriptionDFG priority program 1388 - "Representation Theory"
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFAPESP [2011/22322-4]
dc.descriptionNSF [DMS-0901253]
dc.descriptionCNPq [306678/2008-0]
dc.languageen
dc.publisherSpringer
dc.publisherDordrecht
dc.publisherHolanda
dc.relationAlgebras And Representation Theory
dc.relationAlgebr. Represent. Theory
dc.rightsfechado
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectKirillov-Reshetikhin modules
dc.subjectLie algebras
dc.subjectCurrent algebras
dc.subjectProjective resolutions
dc.subjectExt groups
dc.subjectGraded modules
dc.subjectWeyl Modules
dc.subjectMinimal Affinizations
dc.subjectCurrent-algebras
dc.subjectFusion Products
dc.subjectCrystals
dc.subjectRepresentations
dc.subjectConjecture
dc.subjectPaths
dc.titleOn Multigraded Generalizations of Kirillov-Reshetikhin Modules
dc.typeArtículos de revistas


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