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On some extremal variety of Lie superalgebras - MaRDI portal

On some extremal variety of Lie superalgebras (Q1276038)

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scientific article; zbMATH DE number 1240191
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English
On some extremal variety of Lie superalgebras
scientific article; zbMATH DE number 1240191

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    On some extremal variety of Lie superalgebras (English)
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    14 January 1999
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    The author studies varieties of Lie algebras and superalgebras over a field \(\Phi\) of characteristic zero. The smallest variety of Lie superalgebras is constructed over \(\Phi\), in which the identity \((\text{ad }y)^n \equiv 0\) does not hold for any \(n\) for the odd variable \(y\).
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    Lie superalgebra
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    extremal variety
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    Volichenko variety
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    Grassmann envelope
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    basis of identities
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