On the irreducible components of the variety of laws of nilpotent Lie algebras (Q1910745)

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scientific article; zbMATH DE number 858629
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On the irreducible components of the variety of laws of nilpotent Lie algebras
scientific article; zbMATH DE number 858629

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    On the irreducible components of the variety of laws of nilpotent Lie algebras (English)
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    19 May 1996
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    The irreducible components for the variety of complex nilpotent Lie algebras of dimension 8 are found. These components are the closure in the Zariski topology of the orbits of certain laws. The dimensions of these components are found. The case for dimension 7 was investigated by \textit{M. Goze} and \textit{J. M. Ancochea}-\textit{Bermudez} [J. Pure Appl. Algebra 77, 131-140 (1992; Zbl 0749.17007)].
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    irreducible components
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    variety of complex nilpotent Lie algebras of dimension 8
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