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Lie Algebras With Complex Structures Having Nilpotent Eigenspaces

dc.creatorSantos E.C.L.
dc.creatorMartin L.A.B.S.
dc.date2011
dc.date2015-06-30T20:40:21Z
dc.date2015-11-26T14:53:18Z
dc.date2015-06-30T20:40:21Z
dc.date2015-11-26T14:53:18Z
dc.date.accessioned2018-03-28T22:05:13Z
dc.date.available2018-03-28T22:05:13Z
dc.identifier
dc.identifierProyecciones. , v. 30, n. 2, p. 247 - 263, 2011.
dc.identifier7160917
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-80855165423&partnerID=40&md5=b66e98e0c71fe608f78bf1e07e030c6e
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/108838
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/108838
dc.identifier2-s2.0-80855165423
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1254941
dc.descriptionLet (g, [·,]) be a Lie algebra with an integrable complex structure J. The ±i eigenspaces of J are complex subalgebras of gC isomorphic to the algebra (g, [*]J) with bracket [X * Y]J = 1/2 ([X, Y] - [JX, J Y]). We consider here the case where these subalgebras are nilpotent and prove that the original (g, [·,]) Lie algebra must be solvable. We consider also the 6-dimensional case and determine explicitly the possible nilpotent Lie algebras (g, [*]J). Finally we produce several examples illustrating different situations, in particular we show that for each given s there exists g with complex structure J such that (g, [*]J) is s-step nilpotent. Similar examples of hypercomplex structures are also built.
dc.description30
dc.description2
dc.description247
dc.description263
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dc.languageen
dc.publisher
dc.relationProyecciones
dc.rightsaberto
dc.sourceScopus
dc.titleLie Algebras With Complex Structures Having Nilpotent Eigenspaces
dc.typeArtículos de revistas


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