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arXiv · 2604.24638

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

Josefina Barrionuevo·Paulo Tirao·Sonia Vera
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Abstract

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 case. We also show that, under mild conditions on the nilpotency type, there exist symplectic Lie algebras of that type.

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Josefina Barrionuevo, Paulo Tirao, Sonia Vera. 2026-04-27. $k$-step nilpotent symplectic Lie algebras associated with graphs. https://arxiv.org/abs/2604.24638

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