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A new characterization of semisimple Lie algebras |
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| Authors: | Said Benayadi |
| Affiliation: | Universite de Metz, Département de Mathematiques, U.R.A. CNRS n$^{circ }$ 399, Ile du Saulcy, F-57045 Metz cedex 01, France |
| Abstract: | Using Casimir elements, we characterize the semisimple Lie algebras among the quadratic Lie algebras. This characterization gives, in particular, a generalization of a consequence of Cartan's second criterion. |
| Keywords: | Semisimple Lie algebras quadratic Lie algebras Casimir elements |
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