12 citations · 46 across the 8 of their papers we have counts for
9 papers
Molnár's Theorem for split -by-nilpotent algebras
Mario Galici, Gianmarco La Rosa, Manuel Mancini +1
Kubo-Ando means are a rich class of important binary operations on the set of positive elements of an operator algebra. The aim of this article is to understand the algebraic struc…
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…
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{…
Weak representability of actions of non-associative algebras
Jose Brox, Xabier García-Martínez, Manuel Mancini +2
We study the categorical-algebraic condition that internal actions are weakly representable (WRA) in the context of varieties of (non-associative) algebras over a field. Our first…
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…
On the representability of actions of Leibniz algebras and Poisson algebras
Alan S. Cigoli, Manuel Mancini, Giuseppe Metere
In a recent paper, motivated by the study of central extensions of associative algebras, G. Janelidze introduces the notion of weakly action representable category. In this paper,…
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.…
Biderivations of low-dimensional Leibniz algebras
Manuel Mancini
In this paper we give a complete classification of the Leibniz algebras of biderivations of right Leibniz algebras of dimension up to three over a field , with $\operat…
Two-step nilpotent Leibniz algebras
Manuel Mancini, Gianmarco La Rosa
In this paper we give a complete classification of two-step nilpotent Leibniz algebras in terms of Kronecker modules associated with pairs of bilinear forms. In particular, we desc…