8 citations · 14 across the 10 of their papers we have counts for
10 papers
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…
Deformations of semi-direct products
Maria Alejandra Alvarez, Salim Rivière, Nadina Rojas +2
We exhibit in this article a contraction of the direct product Lie algebra of a finite-dimensional complex Lie algebra onto the semi-direct product Lie algebra $g\r…
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, , on the algebraic set of -dimensional Lie algebras admittin…
Minimal faithful representations of the free 2-step nilpotent Lie algebra of the rank
Leandro Cagliero, Nadina Rojas
Given a finite dimensional Lie algebra , let denote the center of and let be the minimal possible dimens…
On the classification of -dimensional complex hom-Lie algebras
Edison Alberto Fernández-Culma, Nadina Elizabeth Rojas
We classify hom-Lie structures with nilpotent twisting map on -dimensional complex Lie algebras, up to isomorphism, and classify all degenerations in such family. The ideas and…
The Automorphisms group of a Current Lie algebra
Jesús Alonso Ochoa Arango, Nadina Elizabeth Rojas
Let be a finite dimensional complex Lie algebra and let be a finite dimensional complex, associative and commutative algebra with unit. We describe the structure…