We investigate Lie algebras endowed with a complex symplectic structure and develop a method, called 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.

Complex symplectic structures on Lie algebras

Bazzoni G;
2021-01-01

Abstract

We investigate Lie algebras endowed with a complex symplectic structure and develop a method, called 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.
2021
https://www.sciencedirect.com/science/article/abs/pii/S0022404920302863
https://arxiv.org/abs/1811.05969
Complex symplectic structures; Hypercomplex structures; Lie algebras; Nilmanifolds; Solvmanifolds
Bazzoni, G; Freibert, M; Latorre, A; Meinke, B
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2086803
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