$k$-step nilpotent symplectic Lie algebras associated with graphs

Josefina Barrionuevo, Paulo Tirao, Sonia Vera

We construct families of $k$-step nilpotent symplectic Lie algebras associated with graphs, extending the construction given in [Pouseele-Tirao, JPAA 213 (2009)] for the 2-step cas…