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An Elemental Characterization of Orthogonal Ideals in Lie Algebras
Authors:Jose Brox  Esther García  Miguel Gómez Lozano
Institution:1. Departamento de álgebra, Geometría y Topología, Universidad de Málaga, 29071, Málaga, Spain
2. Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933, Móstoles (Madrid), Spain
Abstract:In this paper, we prove that the ideals generated by two elements x, y in a nondegenerate Lie algebra L over a ring of scalars Φ with \({\frac 1 2, \frac 1 3}\) are orthogonal if and only if x, y, L]] = 0.
Keywords:
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