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Título:
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Indecomposable Lie algebras with nontrivial Levi decomposition cannot have filiform radical
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Autores:
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Ancochea Bermúdez, José María ;
Campoamor Stursberg, Otto Ruttwig ;
García Vergnolle, Lucía
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Tipo de documento:
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texto impreso
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Editorial:
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Hikari, 2006
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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/openAccess
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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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Let g = s n r be an indecomposable Lie algebra with nontrivial semisimple Levi subalgebra s and nontrivial solvable radical r. In this note it is proved that r cannot be isomorphic to a filiform nilpotent Lie algebra. The proof uses the fact that any Lie algebra g = snr with filiform radical would degenerate (even contract) to the Lie algebra snfn, where fn is the standard graded filiform
Lie algebra of dimension n = dim r. This leads to a contradiction, since no such indecomposable algebra snr with r = fn exists
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En línea:
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https://eprints.ucm.es/id/eprint/20726/1/ancochea09.pdf
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