Lie algebras generated by 3-forms |
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Authors: | Rudolf Philippe Rohr |
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Affiliation: | University of Geneva, Section of Mathematics, 2-4, rue du Lièvre, CH-1211 Geneva 4, Switzerland |
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Abstract: | Let U be a real vector space, B an inner product on U and a 3-form. The 3-form T defines two natural maps, and given by and . We show that is a Lie bracket if and only if is a Lie subalgebra of . To cite this article: R.P. Rohr, C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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