Metric Symplectic Lie Algebras
Differential Geometry
2016-09-13 v1
Abstract
Every metric symplectic Lie algebra has the structure of a quadratic extension. We give a standard model and describe the equivalence classes on the level of corresponding quadratic cohomology sets. Finally, we give a scheme to classify the isomorphism classes of metric symplectic Lie algebras and give a complete list of all these Lie algebras in special cases.
Cite
@article{arxiv.1609.03311,
title = {Metric Symplectic Lie Algebras},
author = {Mathias Fischer},
journal= {arXiv preprint arXiv:1609.03311},
year = {2016}
}