On a Subclass of 5-Dimensional Solvable Lie Algebras Which Have 3-Dimensional Commutative Derived Ideal

dc.creatorVu, Le Anh
dc.date2006-03-03
dc.date.accessioned2026-07-07T07:06:29Z
dc.date.available2026-07-07T07:06:29Z
dc.descriptionThe paper presents a subclass of the class of MD5-algebras and MD5-groups, i.e., five dimensional solvable Lie algebras and Lie groups such that their orbits in the co-adjoint representation (K-orbit) are orbit of zero or maximal dimension. The main results of the paper is the classification up to an isomorphism of all MD5-algebras $\mathcal{G}$ with the derived ideal ${\mathcal{G}}^{1} := [\mathcal{G}, \mathcal{G}]$ is a 3-dimensional commutative Lie algebra.
dc.description14 pages, no figure
dc.identifierhttps://arxiv.org/abs/math/0603076
dc.identifierhttp://arxiv.org/abs/math/0603076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110045
dc.subjectRepresentation Theory
dc.subjectPrimary 22E45, Secondary 46E25, 20C20
dc.titleOn a Subclass of 5-Dimensional Solvable Lie Algebras Which Have 3-Dimensional Commutative Derived Ideal
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