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math.RA2012
Symplectic structures on nilmanifolds: an obstruction for its existence
Viviana J. del Barco
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie algebras. Indeed, a necessary condition is presented in terms of the cohomology…
math.RA2012★ 1 cited
On a spectral sequence for the cohomology of a nilpotent Lie algebra
Viviana J. del Barco
Given a nilpotent Lie algebra we construct a spectral sequence which is derived from a filtration of its Chevalley-Eilenberg differential complex and converges to 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…