Non-singular derivations of solvable Lie algebras in prime characteristic.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorLima, Marcos Goulart-
Autor(es): dc.creatorSchneider, Csaba-
Data de aceite: dc.date.accessioned2025-08-21T15:42:32Z-
Data de disponibilização: dc.date.available2025-08-21T15:42:32Z-
Data de envio: dc.date.issued2024-10-17-
Data de envio: dc.date.issued2024-10-17-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttps://www.repositorio.ufop.br/handle/123456789/18930-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/pii/S0024379519304501-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.laa.2019.10.016-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1022156-
Descrição: dc.descriptionWe study solvable Lie algebras in prime characteristic p that admit non-singular derivations. We show that Jacobson’s Theorem remains true if the quotients of the derived series have dimension less than p. We also study the structure of Lie algebras with non-singular derivations in which the derived subalgebra is abelian and has codimension one. The paper presents some new examples of solvable, but not nilpotent, Lie algebras of derived length 3 with non-singular derivations.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectLie algebras-
Palavras-chave: dc.subjectNon-singular derivations-
Palavras-chave: dc.subjectPeriodic derivations-
Palavras-chave: dc.subjectCyclic spaces-
Título: dc.titleNon-singular derivations of solvable Lie algebras in prime characteristic.-
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