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math.RA2026
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.RA2025
A New Definition of Superbiderivations for Lie Superalgebras
Alfonso Di Bartolo, Francesco Paolo Di Fatta, Gianmarco La Rosa
In this paper, we study superbiderivations on Lie superalgebras from structural and geometric perspectives. Motivated by the classical fact that the bracket of a Lie algebra is its…
math.RA2024
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{…