Complex Product Structures on Lie Algebras

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dc.creatorAndrada, Adrian
dc.creatorSalamon, Simon
dc.date2003-05-07
dc.date.accessioned2026-07-07T04:57:49Z
dc.date.available2026-07-07T04:57:49Z
dc.descriptionA study is made of real Lie algebras admitting compatible complex and product structures, including numerous 4-dimensional examples. If g is a Lie algebra with such a structure then its complexification has a hypercomplex structure. It is shown in addition that g splits into the sum of two left-symmetric subalgebras. Interpretations of these results are obtained that are relevant to the theory of both hypercomplex and hypersymplectic manifolds and their associated connections.
dc.identifierhttps://arxiv.org/abs/math/0305102
dc.identifierhttp://arxiv.org/abs/math/0305102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67394
dc.subjectDifferential Geometry
dc.subject17B60; 53C15; 53C30
dc.titleComplex Product Structures on Lie Algebras
dc.typetext

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