An Elemental Characterization of Orthogonal Ideals in Lie Algebras |
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Authors: | Jose Brox Esther García Miguel Gómez Lozano |
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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
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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. |
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