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arXiv · 1811.05969

Complex symplectic structures on Lie algebras

Giovanni Bazzoni·Marco Freibert·Adela Latorre·Benedict Meinke
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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 $4n+4$ 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.

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Giovanni Bazzoni, Marco Freibert, Adela Latorre, Benedict Meinke. 2018-11-14. Complex symplectic structures on Lie algebras. https://arxiv.org/abs/1811.05969

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