12 citations · 31 across the 8 of their papers we have counts for
10 papers
Transposed Poisson structures in graded and algebroid geometry
Gianmarco La Rosa
We ask whether the transposed Leibniz rule survives the two passages that turn Poisson algebras into geometry, the shift of degree which pr…
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…
Biderivations of complete Leibniz algebras
Alfonso Di Bartolo, Francesco Paolo Di Fatta, Gianmarco La Rosa
If one wishes to define a complete Leibniz algebra in such a way as to extend the notion of a complete Lie algebra, two distinct definitions can be found in the current literature.…
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…
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.…
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…