E. A. Fern'andez-Culma

activity

20192026

collaborators

6 papers

math.DG2026

Associative Structures in Pseudo-Riemannian Lie Algebras

Santiago Castañeda Montoya, Edison Alberto Fernández-Culma

This paper investigates the algebraic and geometric consequences of the associativity of the symmetric part $U$ of the Levi-Civita connection on a pseudo-Riemannian Lie algebra $(\…

math.RT2025

On the variety of Lie algebras endowed with complex structures: degenerations and deformations

Edison Alberto Fernández-Culma, Nadina Rojas

We study the space of Lie algebras equipped with left-invariant complex structures, $\mathcal{L}_{ J_{\tiny{\mbox{cn}}} }(\mathbb{R}^{2n}) $, with particular attention to their deg…

math.RA2024

On $(α, 1, 0)$ -derivations of anti-commutative algebras

Edison Alberto Fernández-Culma

We solve an open problem concerning the well-known $(α, β, γ)$ -derivations, proving that the spaces of $(α, 1, 0)$ -derivations of any Lie algebra are isomorphic ( $α \neq = 0, 1$ ). Also, we…

math.RA2024

Extended derivations of algebras

Edison Alberto Fernández-Culma

We study the concept of extended derivations of algebras which expands diverse definitions of generalized derivations given in the literature. We concentrate on the family of the a…

math.RT2023

Classification of orbit closures in the variety of 4-dimensional symplectic Lie algebras

Edison Alberto Fernández-Culma, Nadina Elizabeth Rojas

The aim of this paper is to study the natural action of the real symplectic group, $Sp (4, R)$ , on the algebraic set of $4$ -dimensional Lie algebras admittin…

math.RA2019

On the classification of $3$ -dimensional complex hom-Lie algebras