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A New Invariant of Quadratic Lie Algebras

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Abstract

We define a new invariant of quadratic Lie algebras and give a complete study and classification of singular quadratic Lie algebras, i.e. those for which the invariant does not vanish. The classification is related to O(n)-adjoint orbits in \(\mathfrak{o}(n)\).

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Authors and Affiliations

  1. Institut de Mathématiques de Bourgogne, Université de Bourgogne, B.P. 47870, 21078, Dijon Cedex, France

    Minh Thanh Duong, Georges Pinczon & Rosane Ushirobira

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  1. Minh Thanh Duong
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  2. Georges Pinczon
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  3. Rosane Ushirobira
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Correspondence to Rosane Ushirobira.

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Duong, M.T., Pinczon, G. & Ushirobira, R. A New Invariant of Quadratic Lie Algebras. Algebr Represent Theor 15, 1163–1203 (2012). https://doi.org/10.1007/s10468-011-9284-4

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  • DOI: https://doi.org/10.1007/s10468-011-9284-4

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