Graded Algebras With Polynomial Growth Of Their Codimensions

dc.creatorKoshlukov
dc.creatorPlamen; La Mattina
dc.creatorDaniela
dc.date2015-Jul
dc.date2016-06-07T13:16:15Z
dc.date2016-06-07T13:16:15Z
dc.date.accessioned2018-03-29T01:36:52Z
dc.date.available2018-03-29T01:36:52Z
dc.identifier
dc.identifierGraded Algebras With Polynomial Growth Of Their Codimensions. Academic Press Inc Elsevier Science, v. 434, p. 115-137 Jul-2015.
dc.identifier0021-8693
dc.identifierWOS:000355019500008
dc.identifier10.1016/j.jalgebra.2015.03.030
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0021869315001660
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/242041
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1305739
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionLet A be an algebra over a field of characteristic 0 and assume A is graded by a finite group G. We study combinatorial and asymptotic properties of the G-graded polynomial identities of A provided A is of polynomial growth of the sequence of its graded codimensions. Roughly speaking this means that the ideal of graded identities is "very large". We relate the polynomial growth of the codimensions to the module structure of the multilinear elements in the relatively free G-graded algebra in the variety generated by A. We describe the irreducible modules that can appear in the decomposition, we show that their multiplicities are eventually constant depending on the shape obtained by the corresponding multipartition after removing its first row. We relate, moreover, the polynomial growth to the colengths. Finally we describe in detail the algebras whose graded codimensions are of linear growth. (C) 2015 Elsevier Inc. All rights reserved.
dc.description434
dc.description
dc.description
dc.description115
dc.description137
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionGNSAGA-INDAM
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCNPq [304003/2011-5, 480139/2012-1]
dc.descriptionFAPESP [2014/09310-5, 2014/07021-6]
dc.description
dc.description
dc.description
dc.languageen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.publisher
dc.publisherSAN DIEGO
dc.relationJOURNAL OF ALGEBRA
dc.rightsembargo
dc.sourceWOS
dc.subjectPi-algebras
dc.subjectMatrix Algebra
dc.subjectExponential-growth
dc.subjectOrder-n
dc.subjectIdentities
dc.subjectSuperalgebras
dc.subjectCocharacters
dc.subjectMultiplicities
dc.subjectConjecture
dc.subjectVarieties
dc.titleGraded Algebras With Polynomial Growth Of Their Codimensions
dc.typeArtículos de revistas


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