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Hypersymplectic four-dimensional Lie algebras

Adrian Andrada
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Abstract

A study is made of real Lie algebras admitting a hypersymplectic structure, and we provide a method to construct such hypersymplectic Lie algebras. We use this method in order to obtain the classification of all hypersymplectic structures on four-dimensional Lie algebras, and we describe the associated metrics on the corresponding Lie groups.

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Adrian Andrada. 2003-10-29. Hypersymplectic four-dimensional Lie algebras. https://arxiv.org/abs/math/0310462

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