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

Ancochea Bermúdez, José MaríaCampoamor Stursberg, Otto-Rudwig2023-06-192023-06-1920140308-108710.1080/03081087.2013.833614https://hdl.handle.net/20.500.14352/33761We 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.An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebrasjournal articlehttps//doi.org/10.1080/03081087.2013.833614http://www.tandfonline.com/metadata only access512.5Leibniz algebraRigidityIrreducible componentDerivationsÁlgebra1201 Álgebra