Symplectic structures on quadratic Lie algebras

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dc.creatorBajo, I.
dc.creatorBenayadi, S.
dc.creatorMedina, A.
dc.date2006-03-03
dc.date.accessioned2026-07-07T07:06:28Z
dc.date.available2026-07-07T07:06:28Z
dc.descriptionWe study quadratic Lie algebras over a field K of null characteristic which admit, at the same time, a symplectic structure. We see that if K is algebraically closed every such Lie algebra may be constructed as the T*-extension of a nilpotent algebra admitting an invertiblederivation and also as the double extension of another quadratic symplectic Lie algebra by the one-dimensional Lie algebra. Finally, we prove that every symplectic quadratic Lie algebra is a special symplectic Manin algebra and we give an inductive classification in terms of symplectic quadratic double extensions.
dc.identifierhttps://arxiv.org/abs/math/0603066
dc.identifierhttp://arxiv.org/abs/math/0603066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110040
dc.subjectRings and Algebras
dc.subjectDifferential Geometry
dc.titleSymplectic structures on quadratic Lie algebras
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