dc.creatorDrensky
dc.creatorVesselin; Koshlukov
dc.creatorPlamen; Machado
dc.creatorGustavo Grings
dc.date2016
dc.date2017-11-13T11:34:07Z
dc.date2017-11-13T11:34:07Z
dc.date.accessioned2018-03-29T05:48:27Z
dc.date.available2018-03-29T05:48:27Z
dc.identifierPublicationes Mathematicae-debrecen. Kossuth Lajos Tudomanyegyetem, v. 89, p. 125 - 135, 2016.
dc.identifier0033-3883
dc.identifierWOS:000385027800009
dc.identifier10.5486/PMD.2016.7400
dc.identifierhttp://www.math.unideb.hu/publi/contents.php?szam=89
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/326365
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1363371
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionRecently Machado and Koshlukov have computed the Gelfand Kirillov dimension of the relatively free algebra F-m = F-m(var (sl(2)(K))) of rank m in the variety of algebras generated by the three-dimensional simple Lie algebra sl2 (K) over an infinite field K of characteristic different from 2. They have shown that GKdim(F-m) = 3(m-1). The algebra F-m is isomorphic to the Lie algebra generated by m generic 2 x 2 matrices. Now we give a new proof for GKdim(F-m) using classical results of Procesi and Razmyslov combined with the observation that the commutator ideal of F-m is a module of the center of the associative algebra generated by m generic traceless 2 x 2 matrices.
dc.description89
dc.description125
dc.description135
dc.descriptionComputational and Combinatorial Methods in Algebra and Applications of the Bulgarian National Science Fund [I02/18]
dc.descriptionFAPESP [2014/08608-0]
dc.descriptionCNPq [304632/2015-5]
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageEnglish
dc.publisherKossuth Lajos Tudomanyegyetem
dc.publisherDebrecen
dc.relationPublicationes Mathematicae-Debrecen
dc.rightsfechado
dc.sourceWOS
dc.subjectGelfand Kirillov Dimension
dc.subjectGeneric Matrices
dc.subjectMatrix Invariants
dc.subjectRelatively Free Lie Algebras
dc.titleGk-dimension Of 2 X 2 Generic Lie Matrices
dc.typeArtículos de revistas


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