Symplectic Lie algebras with degenerate center
Differential Geometry
2016-09-13 v1
Abstract
Every symplectic Lie algebra with degenerate (including non-abelian nilpotent symplectic Lie algebras) 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 symplectic Lie algebras with degenerate center. We also give a classification scheme for nilpotent symplectic Lie algebras and compute a complete list of all 6-dimensional nilpotent symplectic Lie algebras, which removes some little inaccuracies in an older list.
Keywords
Cite
@article{arxiv.1609.03314,
title = {Symplectic Lie algebras with degenerate center},
author = {Mathias Fischer},
journal= {arXiv preprint arXiv:1609.03314},
year = {2016}
}