A class of solvable Lie algebras and their Casimir Invariants

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dc.creatorSnobl, L.
dc.creatorWinternitz, P.
dc.date2004-11-04
dc.date.accessioned2026-07-07T04:31:36Z
dc.date.available2026-07-07T04:31:36Z
dc.descriptionA nilpotent Lie algebra n_{n,1} with an (n-1) dimensional Abelian ideal is studied. All indecomposable solvable Lie algebras with n_{n,1} as their nilradical are obtained. Their dimension is at most n+2. The generalized Casimir invariants of n_{n,1} and of its solvable extensions are calculated. For n=4 these algebras figure in the Petrov classification of Einstein spaces. For larger values of n they can be used in a more general classification of Riemannian manifolds.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0411023
dc.identifierhttp://arxiv.org/abs/math-ph/0411023
dc.identifierJ. Phys. A: Math. Gen. 38 (2005) 2687-2700
dc.identifierdoi:10.1088/0305-4470/38/12/011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57875
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject17B30; 81R05
dc.titleA class of solvable Lie algebras and their Casimir Invariants
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