The structure of locally finite split Lie algebras (Q1818878)

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scientific article; zbMATH DE number 1384482
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The structure of locally finite split Lie algebras
scientific article; zbMATH DE number 1384482

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    The structure of locally finite split Lie algebras (English)
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    23 February 2004
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    The author studies the structure of locally finite Lie algebras over fields of characteristic zero that have a weight space decomposition with respect to a maximal Abelian subalgebra. The main aim is to extend results from finite-dimensional complex Lie algebras to this setting. See also the review of the author's thesis (Shaker 1999) in Zbl 0931.17001.
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    locally finite split Lie algebra
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    generalized Levi decomposition
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    root system
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    locally finite Lie algebras
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    weight space decomposition
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    maximal Abelian subalgebra
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