Characteristically nilpotent Lie algebras and symplectic structures
Symplectic Geometry
2007-05-23 v1 Rings and Algebras
Abstract
We study symplectic structures on characteristically nilpotent Lie algebras (CNLAs) by computing the cohomology space for certain Lie algebras . Among these Lie algebras are filiform CNLAs of dimension . It turns out that there are many examples of CNLAs which admit a symplectic structure. A generalization of a sympletic structure is an affine structure on a Lie algebra.
Cite
@article{arxiv.math/0409251,
title = {Characteristically nilpotent Lie algebras and symplectic structures},
author = {Dietrich Burde},
journal= {arXiv preprint arXiv:math/0409251},
year = {2007}
}