Contractions and deformations of quasi-classical Lie algebras preserving a non-degenerate quadratic Casimir operator

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dc.creatorCampoamor-Stursberg, R.
dc.date2007-05-31
dc.date.accessioned2026-07-07T11:41:13Z
dc.date.available2026-07-07T11:41:13Z
dc.descriptionBy means of contractions of Lie algebras, we obtain new classes of indecomposable quasi-classical Lie algebras that satisfy the Yang-Baxter equations in its reformulation in terms of triple products. These algebras are shown to arise naturally from non-compact real simple algebras with non-simple complexification, where we impose that a non-degenerate quadratic Casimir operator is preserved by the limiting process. We further consider the converse problem, and obtain sufficient conditions on integrable cocycles of quasi-classical Lie algebras in order to preserve non-degenerate quadratic Casimir operators by the associated linear deformations.
dc.description12 pages. LATEX with revtex4; Proceedings of the XII International Conference on Symmetry Methods in Physics, (Yerevan, 2006) eds. G.S. Pogosyan et al;
dc.identifierhttps://arxiv.org/abs/0705.4613
dc.identifierhttp://arxiv.org/abs/0705.4613
dc.identifierPhys.Atom.Nucl.71:830-835,2008
dc.identifierdoi:10.1134/S1063778808050104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200458
dc.subjectHigh Energy Physics - Theory
dc.titleContractions and deformations of quasi-classical Lie algebras preserving a non-degenerate quadratic Casimir operator
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