FINITE- DIMENSIONAL REPRESENTATIONS OF TWISTED HYPER- LOOP ALGEBRAS

dc.creatorBianchi, A
dc.creatorMoura, A
dc.date2014
dc.date37803
dc.date2014-07-30T17:35:00Z
dc.date2015-11-26T16:44:10Z
dc.date2014-07-30T17:35:00Z
dc.date2015-11-26T16:44:10Z
dc.date.accessioned2018-03-28T23:29:25Z
dc.date.available2018-03-28T23:29:25Z
dc.identifierCommunications In Algebra. Taylor & Francis Inc, v. 42, n. 7, n. 3147, n. 3182, 2014.
dc.identifier0092-7872
dc.identifier1532-4125
dc.identifierWOS:000333996300025
dc.identifier10.1080/00927872.2013.781610
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/66980
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/66980
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1273829
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe investigate the category of finite-dimensional representations of twisted hyper-loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper-loop algebras are isomorphic to appropriate simple and Weyl modules for the nontwisted hyper-loop algebras, respectively, via restriction of the action.
dc.description42
dc.description7
dc.description3147
dc.description3182
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionMATH-AmSud project [12MATH-01]
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFAPESP [2007/07456-9]
dc.descriptionCNPq [306678/2008-0]
dc.descriptionMATH-AmSud project [12MATH-01]
dc.languageen
dc.publisherTaylor & Francis Inc
dc.publisherPhiladelphia
dc.publisherEUA
dc.relationCommunications In Algebra
dc.relationCommun. Algebr.
dc.rightsfechado
dc.rightshttp://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp
dc.sourceWeb of Science
dc.subjectFinite-dimensional representations
dc.subjectHyperalgebras
dc.subjectLoop algebras
dc.subjectPrimary 17B10
dc.subject17B65
dc.subjectSecondary 20G42
dc.subjectEquivariant Map Algebras
dc.subjectQuantum Affine Algebras
dc.subjectWeyl Modules
dc.subjectDemazure Modules
dc.subjectCrystal Bases
dc.titleFINITE- DIMENSIONAL REPRESENTATIONS OF TWISTED HYPER- LOOP ALGEBRAS
dc.typeArtículos de revistas


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