Z-graded Identities Of The Lie Algebra W1

dc.creatorFreitas J.A.
dc.creatorKoshlukov P.
dc.creatorKrasilnikov A.
dc.date2015
dc.date2015-06-25T12:52:28Z
dc.date2015-11-26T15:04:08Z
dc.date2015-06-25T12:52:28Z
dc.date2015-11-26T15:04:08Z
dc.date.accessioned2018-03-28T22:14:58Z
dc.date.available2018-03-28T22:14:58Z
dc.identifier
dc.identifierJournal Of Algebra. Academic Press Inc., v. 427, n. , p. 226 - 251, 2015.
dc.identifier218693
dc.identifier10.1016/j.jalgebra.2014.12.023
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84921277230&partnerID=40&md5=e4145b9b1fc4e7709a7317da754f3868
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/85384
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/85384
dc.identifier2-s2.0-84921277230
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1256776
dc.descriptionLet K be a field of characteristic 0 and let W1 be the Lie algebra of the derivations of the polynomial ring K[t]. The algebra W1 admits a natural Z-grading. We describe the graded identities of W1 for this grading. It turns out that all these Z-graded identities are consequences of a collection of polynomials of degree 1, 2 and 3 and that they do not admit a finite basis. Recall that the "ordinary" (non-graded) identities of W1 coincide with the identities of the Lie algebra of the vector fields on the line and it is a long-standing open problem to find a basis for these identities. We hope that our paper might be a step to solving this problem.
dc.description427
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dc.description251
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dc.languageen
dc.publisherAcademic Press Inc.
dc.relationJournal of Algebra
dc.rightsfechado
dc.sourceScopus
dc.titleZ-graded Identities Of The Lie Algebra W1
dc.typeArtículos de revistas


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