8 citations · 15 across the 7 of their papers we have counts for
11 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…
On the rigidity of k-step nilpotent graph Lie algebras
Josefina Barrionuevo, Paulo Tirao
We thoroughly explore the class of k-step nilpotent Lie algebras associated with a simple graph looking for k-step nilpotent Lie algebras which are rigid in the variety of at most…
Rigid 2-step graph Lie algebras
Josefina Barrionuevo, Paulo Tirao
We characterize those graphs which correspond to a rigid 2-step nilpotent Lie algebra in the variety of at most 2-step nilpotent Lie algebras.
Deformations and rigidity in varieties of Lie algebras
Josefina Barrionuevo, Paulo Tirao
We present a novel construction of linear deformations for Lie algebras and use it to prove the non-rigidity of several classes of Lie algebras in different varieties. We consider…
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…