Families of k-step nilpotent symplectic Lie algebras are built from graphs, with existence proven under mild conditions on the nilpotency type.
J.\ Pure Appl.\ Algebra 213, No.˜9, 1788-1794 (2009)
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$k$-step nilpotent symplectic Lie algebras associated with graphs
Families of k-step nilpotent symplectic Lie algebras are built from graphs, with existence proven under mild conditions on the nilpotency type.