Jordan subgroups and orthogonal decompositions (Q916760)

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scientific article; zbMATH DE number 4154674
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Jordan subgroups and orthogonal decompositions
scientific article; zbMATH DE number 4154674

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    Jordan subgroups and orthogonal decompositions (English)
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    1989
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    Let L be a simple complex Lie algebra, \(G=Aut L^ 0\). It is proved that for every Jordan subgroup of G there exists a uniquely defined transitive orthogonal decomposition of L. Some new decompositions, using this construction, are shown.
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    simple complex Lie algebra
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    Jordan subgroup
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    transitive orthogonal decomposition
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