Título: | An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras |
Autores: | Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig |
Tipo de documento: | texto impreso |
Editorial: | Taylor & Francis, 2014 |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Álgebra , Tipo = Artículo |
Resumen: | We show the rigidity of a parameterized family of solvable Leibniz non-Lie algebras in arbitrary dimension, obtaining an irreducible component in the variety L epsilon(n) that does not intersect the variety of Lie algebras non-trivially. Moreover it is shown that for any n >= 3 the Abelian Lie algebra a(n) appears as the algebra of derivations of a solvable Leibniz algebra. |
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