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arXiv · 1510.08212

Symplectic structures on 2-step nilpotent Lie algebras

Elisabeth Remm·Michel Goze
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Abstract

We study symplectic structures on nilpotent Lie algebras. Since the classification of nilpotent Lie algebras in any dimension seems to be a crazy dream, we approach this study in case of 2-step nilpotent Lie algebras (in this sub-case also, the classification fo the dimension greater than 8 seems very difficult), using not a classification but a description of subfamilies associated with the characteristic sequence. We begin with the dimension $8$, first step where the classification becomes difficult.

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Elisabeth Remm, Michel Goze. 2015-10-28. Symplectic structures on 2-step nilpotent Lie algebras. https://arxiv.org/abs/1510.08212

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