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Quasi-filiform Leibniz algebras of maximum length - MaRDI portal

Quasi-filiform Leibniz algebras of maximum length (Q665896)

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Quasi-filiform Leibniz algebras of maximum length
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    Quasi-filiform Leibniz algebras of maximum length (English)
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    7 March 2012
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    The problem of the classification of the Leibniz-Lie algebras is not new and it still remains unsolved. As we cannot manage the problem as a whole, we try to classify families of Leibniz-Lie algebras. In this case, the present paper deals with the classification of \(n\)-dimensional quasi-filiform non-Lie-Leibniz algebras of maximum length. This work finishes the study of the maximum length of the Leibniz algebras with nilindex \(n-p\) with \(0 \leq p \leq 2\).
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    Lie algebra
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    Leibniz algebra
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    nilpotence
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    natural gradation
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    characteristic sequence
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    pfiliformness
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    maximum length
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