Prime representations from a homological perspective

dc.creatorChari, V
dc.creatorMoura, A
dc.creatorYoung, C
dc.date2013
dc.dateJUN
dc.date2014-07-30T18:08:17Z
dc.date2015-11-26T16:36:42Z
dc.date2014-07-30T18:08:17Z
dc.date2015-11-26T16:36:42Z
dc.date.accessioned2018-03-28T23:19:33Z
dc.date.available2018-03-28T23:19:33Z
dc.identifierMathematische Zeitschrift. Springer, v. 274, n. 41671, n. 613, n. 645, 2013.
dc.identifier0025-5874
dc.identifierWOS:000319004900033
dc.identifier10.1007/s00209-012-1088-7
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/70293
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/70293
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1271888
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe explore the relation between self extensions of simple representations of quantum affine algebras and the property of a simple representation being prime. We show that every nontrivial simple representation has a nontrivial self extension. Conversely, we prove that if a simple representation has a unique nontrivial self extension up to isomorphism, then its Drinfeld polynomial is a power of the Drinfeld polynomial of a prime representation. It turns out that, in the -case, a simple module is prime if and only if it has a unique nontrivial self extension up to isomorphism. It is tempting to conjecture that this is true in general and we present a large class of prime representations satisfying this homological property.
dc.description274
dc.description41671
dc.description613
dc.description645
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionEPSRC [EP/H000054/1]
dc.description[DMS-0901253]
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCNPq [306678/2008-0]
dc.descriptionEPSRC [EP/H000054/1]
dc.description[DMS-0901253]
dc.languageen
dc.publisherSpringer
dc.publisherNew York
dc.publisherEUA
dc.relationMathematische Zeitschrift
dc.relationMath. Z.
dc.rightsfechado
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectQuantum affine algebras
dc.subjectExtentions
dc.subjectPrime
dc.subjectQuantum Affine Algebras
dc.subjectFinite-dimensional Representations
dc.subjectMinimal Affinizations
dc.subjectCluster Algebras
dc.subjectQuiver Varieties
dc.subjectSimple Modules
dc.subjectCrystal Bases
dc.subjectWeyl Modules
dc.subjectProducts
dc.subjectDemazure
dc.titlePrime representations from a homological perspective
dc.typeArtículos de revistas


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