5 citations · 5 across the 4 of their papers we have counts for
6 papers
-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…
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…
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…
Degenerations to filiform Lie algebras of dimension 9
Joan Felipe Herrera-Granada, Oscar Marquez, Sonia Vera
For most complex 9-dimensional filiform Lie algebra we find another non isomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of ran…
A distinguished example of filiform deformation
Joan Felipe Herrera-Granada, Paulo Tirao, Sonia Vera
We exhibit an example of a filiform (complex) Lie algebra of dimension 13 with all its ideals of codimension 1 being characteristically nilpotent, and we construct a non trivial fi…
There are no rigid filiform Lie algebras of low dimension
Paulo Tirao, Sonia Vera
We prove that there are no rigid complex filiform Lie algebras in the variety of (filiform) Lie algebras of dimension less than or equal to 11. More precisely we show that in any E…