Hypersymplectic four-dimensional Lie algebras

2003/10/29 by Adrian Andrada, Andrada, Adrian
Mathematics · #17B60 #53C15 #53C30 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:17B60 #msc:53C15 #msc:53C30 #msc:53C50

paper · pdf · doi:10.48550/arxiv.math/0310462

arxiv created 2003/10/29 · arxiv updated 2009/12/01

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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