ON SPECIALITY OF BINARY-LIE ALGEBRAS

dc.creatorARENAS, Manuel
dc.creatorSHESTAKOV, Ivan
dc.date.accessioned2012-10-20T04:50:52Z
dc.date.accessioned2018-07-04T15:47:03Z
dc.date.available2012-10-20T04:50:52Z
dc.date.available2018-07-04T15:47:03Z
dc.date.created2012-10-20T04:50:52Z
dc.date.issued2011
dc.identifierJOURNAL OF ALGEBRA AND ITS APPLICATIONS, v.10, n.2, p.257-268, 2011
dc.identifier0219-4988
dc.identifierhttp://producao.usp.br/handle/BDPI/30687
dc.identifier10.1142/S0219498811004550
dc.identifierhttp://dx.doi.org/10.1142/S0219498811004550
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627326
dc.description.abstractIn the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A(-) is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that cannot be embedded in A(-s) for an assocyclic superalgebra A. We use the Grassmann envelope of T to prove the similar result for algebras. This solve negatively a problem by Filippov (see [1, Problem 2.108]). Finally, we prove that the superalgebra T is isomorphic to the commutator superalgebra A(-s) for a simple binary (-1,1) superalgebra A.
dc.languageeng
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.relationJournal of Algebra and Its Applications
dc.rightsCopyright WORLD SCIENTIFIC PUBL CO PTE LTD
dc.rightsrestrictedAccess
dc.subjectAssocyclic algebra
dc.subjectbinary-Lie algebra
dc.subjectspeciality problem
dc.subjectsuper-algebra
dc.subject(-1,1)-algebra
dc.titleON SPECIALITY OF BINARY-LIE ALGEBRAS
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución