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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

## 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 |
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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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