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On the varieties of nilpotent Lie algebras of dimension 7 and 8 - MaRDI portal

On the varieties of nilpotent Lie algebras of dimension 7 and 8 (Q1184030)

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scientific article; zbMATH DE number 33990
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On the varieties of nilpotent Lie algebras of dimension 7 and 8
scientific article; zbMATH DE number 33990

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    On the varieties of nilpotent Lie algebras of dimension 7 and 8 (English)
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    28 June 1992
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    Let \(N^ n\) denote the variety of \(n\)-dimensional complex nilpotent Lie algebras, which is known to be reducible for \(n\geq 11\) and \(n\leq 6\). The authors prove that \(N^ 7\) is composed of two algebraic components and that \(N^ 8\) is also reducible.
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    variety
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    nilpotent Lie algebras
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    reducible
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    algebraic components
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