Characterizing nilpotent \(n\)-Lie algebras by their multiplier (Q2034867)
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scientific article; zbMATH DE number 7362289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizing nilpotent \(n\)-Lie algebras by their multiplier |
scientific article; zbMATH DE number 7362289 |
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Characterizing nilpotent \(n\)-Lie algebras by their multiplier (English)
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23 June 2021
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For every nilpotent \(n\)-Lie algebra \(A\) of dimension \(d\), \(t(A)\) is defined by \(t(A) =C^d_n - \dim\,M(A)\), where \(M(A)\) denotes the Schur multiplier of \(A\). In this paper, the authors classify all nilpotent \(n\)-Lie algebras \(A\) satisfying \(t(A) = 9, 10\). The authors also classify all nilpotent \(n\)-Lie algebras for \(11 \leq t(A) \leq 16\) when \(n \geq 3\).
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\(n\)-Lie algebra
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nilpotent \(n\)-Lie algebra
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multiplier
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