Complex symplectic structures on Lie algebras
Symplectic Geometry
2018-11-16 v1 Complex Variables
Differential Geometry
Abstract
We investigate Lie algebras endowed with a complex symplectic structure and develop a method, called \emph{complex symplectic oxidation}, to construct certain complex symplectic Lie algebras of dimension from those of dimension . We specialize this construction to the nilpotent case and apply complex symplectic oxidation to classify eight-dimensional nilpotent complex symplectic Lie algebras.
Cite
@article{arxiv.1811.05969,
title = {Complex symplectic structures on Lie algebras},
author = {Giovanni Bazzoni and Marco Freibert and Adela Latorre and Benedict Meinke},
journal= {arXiv preprint arXiv:1811.05969},
year = {2018}
}
Comments
35 pages; comments are welcome