2 papers
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.QA2024
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…