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math.DG2011
Symplectic Structures on Free Nilpotent Lie algebras
Viviana del Barco
In this work we study the problem of existence of symplectic structures on free nilpotent Lie algebras. Necessary and sufficient conditions are given for even dimensional ones. The…
math.RA2011★ 3 cited
Free Nilpotent Lie Algebras Admitting Ad-Invariant Metrics
Gabriela Ovando, Viviana del Barco
In this work we find necessary and sufficient conditions for a free nilpotent or a free metabelian nilpotent Lie algebra to be endowed with an ad-invariant metric. For such nilpote…