12 citations · 46 across the 8 of their papers we have counts for
5 papers · 1 filter
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.…