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math.RA2025
On Lie-holomorphs of Leibniz algebras
Gianmarco La Rosa, Manuel Mancini
We study the notion of the Lie-holomorph of a Leibniz algebra, recently introduced by N. P. Souris as a generalisation of the classical holomorph construction for Lie algebras. We…
math.RA2023
Non-nilpotent Leibniz algebras with one-dimensional derived subalgebra
Alfonso Di Bartolo, Gianmarco La Rosa, Manuel Mancini
In this paper we study non-nilpotent non-Lie Leibniz -algebras with one-dimensional derived subalgebra, where is a field with $\operatorname{char}(\mathbb{…