12 citations · 31 across the 8 of their papers we have counts for
4 papers · 1 filter
Biderivations of complete Lie algebras
Alfonso Di Bartolo, Gianmarco La Rosa
The authors of this article intend to present some results obtained in the study of biderivations of complete Lie algebras. Firstly they present a matricial approach to do this, wh…
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{…
Isotopisms of nilpotent Leibniz algebras and Lie racks
Gianmarco La Rosa, Manuel Mancini, Gábor P. Nagy
In this paper we study the isotopism classes of two-step nilpotent algebras. We show that every nilpotent Leibniz algebra with $\operatorname{dim}[\mathfrak{g},\math…
Derivations of two-step nilpotent algebras
Gianmarco La Rosa, Manuel Mancini
In this paper we study the Lie algebras of derivations of two-step nilpotent algebras. We obtain a class of Lie algebras with trivial center and abelian ideal of inner derivations.…