Symplectic structures on 2-step nilpotent Lie algebras
Symplectic Geometry
2015-11-27 v1 Rings and Algebras
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 , first step where the classification becomes difficult.
Cite
@article{arxiv.1510.08212,
title = {Symplectic structures on 2-step nilpotent Lie algebras},
author = {Elisabeth Remm and Michel Goze},
journal= {arXiv preprint arXiv:1510.08212},
year = {2015}
}