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An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras

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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig (2014) An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras. Linear & Multilinear Algebra, 62 (11). pp. 1450-1459. ISSN 0308-1087


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Leibniz algebra; rigidity; irreducible component; derivations
Subjects:Sciences > Mathematics > Algebra
ID Code:28165
Deposited On:10 Feb 2015 09:29
Last Modified:10 Feb 2015 09:29

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