$k$-step nilpotent symplectic Lie algebras associated with graphs
Rings and Algebras
2026-04-28 v1
Abstract
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 case. We also show that, under mild conditions on the nilpotency type, there exist symplectic Lie algebras of that type.
Cite
@article{arxiv.2604.24638,
title = {$k$-step nilpotent symplectic Lie algebras associated with graphs},
author = {Josefina Barrionuevo and Paulo Tirao and Sonia Vera},
journal= {arXiv preprint arXiv:2604.24638},
year = {2026}
}