Título:
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On certain families of naturally graded Lie algebras
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Autores:
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Ancochea Bermúdez, José María ;
Campoamor Stursberg, Otto Ruttwig
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2002-05-08
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Álgebra
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Tipo = Artículo
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Resumen:
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In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and characteristic sequence (n; q; 1) with n ? 1(mod 2) satisfying the centralizer property are given. This centralizer property constitutes a generalization, for any nilpotent algebra, of the structural properties characterizing the Lie algebra Qn. By considering certain cohomological classes of the space H2(g;C), it is shown that, with few exceptions, the isomorphism classes of these algebras are given by central extensions of Qn by Cp which preserve the nilindex and the
natural graduation.
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En línea:
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https://eprints.ucm.es/id/eprint/20930/1/Ancochea19.pdf
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