Complex symplectic structures on Lie algebras

Autor:	Bazzoni, Giovanni, Freibert, Marco, Latorre, Adela, Meinke, Benedict
Rok vydání:	2018
Předmět:	Mathematics - Symplectic Geometry Mathematics - Complex Variables Mathematics - Differential Geometry 53C50 53C56 53D05 22E25
Druh dokumentu:	Working Paper
Popis:	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 $4n+4$ from those of dimension $4n$. We specialize this construction to the nilpotent case and apply complex symplectic oxidation to classify eight-dimensional nilpotent complex symplectic Lie algebras. Comment: 35 pages; comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.05969 Zobrazit plný text záznamu View this record from Arxiv