Classification of four-dimensional Lie algebras admitting a para-hypercomplex structure

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dc.creatorBlazic, N.
dc.creatorVukmirovic, S.
dc.date2003-10-13
dc.date.accessioned2026-07-07T05:01:50Z
dc.date.available2026-07-07T05:01:50Z
dc.descriptionThe main goal is to classify 4-dimensional real Lie algebras $\g$ which admit a para-hypercomplex structure. This is a step toward the classification of Lie groups admitting the corresponding left-invariant structure and therefore possessing a neutral, left-invariant, anti-self-dual metric. Our study is related to the work of Barberis who classified real, 4-dimensional simply-connected Lie groups which admit an invariant hypercomplex structure.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0310180
dc.identifierhttp://arxiv.org/abs/math/0310180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68830
dc.subjectDifferential Geometry
dc.subject53C50, 53C56, 32M10, 53C26, 53C55
dc.titleClassification of four-dimensional Lie algebras admitting a para-hypercomplex structure
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