Non-singular derivations of solvable Lie algebras in prime characteristic.
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Data
2019
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Resumo
We 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.
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Lie algebras, Non-singular derivations, Periodic derivations, Cyclic spaces
Citação
LIMA, M. G.; SCHNEIDER, C. Non-singular derivations of solvable Lie algebras in prime characteristic. Linear Algebra and Its Applications, v. 586, p. 170-189, 2019. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0024379519304501>. Acesso em: 15 ago. 2024.