The Structure of Locally Finite Split Li
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Nina Stumme
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Article
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1999
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Elsevier Science
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English
โ 228 KB
If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + ฮฑโ ฮฑ , then the roots of can be classified into different types: a root ฮฑ โ is said to be of nilpotent type if all subalgebras x ฮฑ x -ฮฑ = span x ฮฑ x -ฮฑ x ฮฑ x -ฮฑ for x ยฑฮฑ โ ยฑฮฑ are nilpotent, and of simple type