A New Invariant of Quadratic Lie Algebras |
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| Authors: | Minh Thanh Duong Georges Pinczon Rosane Ushirobira |
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| Affiliation: | 1. Institut de Mathématiques de Bourgogne, Université de Bourgogne, B.P. 47870, 21078, Dijon Cedex, France
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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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