8 citations · 14 across the 10 of their papers we have counts for
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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…
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…
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…
A lower bound for faithful representations of nilpotent Lie algebras
Leandro Cagliero, Nadina Rojas
In this paper we present a lower bound for the minimal dimension of a faithful representation of a finite dimensional -step nilpotent Lie algebra $\mathfrak{n}…
Faithful Representations of Minimal Dimension of 6-dimensional nilpotent Lie algebras
Nadina Elizabeth Rojas
The main goal of this paper is to compute $μ(\g)$ and $μ_{nil}(\g)$ for each nilpotent Lie algebra $\g$ of dimension 6 over a field of characteristic zero $\k$. Here $μ(\g)$ and $μ…