On pseudo-Riemannian Lie algebras: a class of new Lie-admissible algebras

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dc.creatorChen, Zhiqi
dc.creatorZhu, Fuhai
dc.date2008-07-07
dc.date.accessioned2026-07-07T09:48:45Z
dc.date.available2026-07-07T09:48:45Z
dc.descriptionM. Boucetta introduced the notion of pseudo-Riemannian Lie algebra in [2] when he studied the line Poisson structure on the dual of a Lie algebra. In this paper, we redefine pseudo-Riemannian Lie algebra, which, in essence, is a class of new Lie admissible algebras and prove that all pseudo-Riemannian Lie algebras are solvable. Using our main result and method, we prove some of M. Boucetta's results in [2, 3] in a simple and new way, then we give an explicit construction of Riemann-Lie algebras and a classification of pseudo-Riemannian Lie algebras of dimension 2 and 3.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0807.0936
dc.identifierhttp://arxiv.org/abs/0807.0936
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164328
dc.subjectRings and Algebras
dc.subject17D25
dc.titleOn pseudo-Riemannian Lie algebras: a class of new Lie-admissible algebras
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