Classification of \((n-5)\)-filiform Lie algebras (Q5954850)
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scientific article; zbMATH DE number 1702097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of \((n-5)\)-filiform Lie algebras |
scientific article; zbMATH DE number 1702097 |
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Classification of \((n-5)\)-filiform Lie algebras (English)
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25 February 2002
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The authors classify \((n-5)\)-filiform Lie algebras. They obtain large families of characteristically nilpotent Lie algebras with nilpotence index 5 and show that at least for dimension 10, there is a characteristically nilpotent Lie algebra with nilpotence index 4, which is the algebra of derivations of a nilpotent Lie algebra.
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filiform Lie algebras
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characteristically nilpotent Lie algebras
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nilpotence index 5
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algebra of derivations
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nilpotent Lie algebra
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