3 papers
math.DG2026
Complex structures on 2-step nilpotent Lie algebras arising from graphs
Adrián Andrada, Sonia Vera
This work investigates the existence of complex structures on 2-step nilpotent Lie algebras arising from finite graphs. We introduce the notion of adapted complex structure, namely…
math.RA2026
-step nilpotent symplectic Lie algebras associated with graphs
Josefina Barrionuevo, Paulo Tirao, Sonia Vera
We construct families of -step nilpotent symplectic Lie algebras associated with graphs, extending the construction given in [Pouseele-Tirao, JPAA 213 (2009)] for the 2-step cas…
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…