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The variety of 7-dimensional 2-step nilpotent Lie algebras - MaRDI portal

The variety of 7-dimensional 2-step nilpotent Lie algebras (Q1646262)

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scientific article; zbMATH DE number 6893782
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The variety of 7-dimensional 2-step nilpotent Lie algebras
scientific article; zbMATH DE number 6893782

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    The variety of 7-dimensional 2-step nilpotent Lie algebras (English)
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    25 June 2018
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    Summary: In this note, we consider degenerations between complex 2-step nilpotent Lie algebras of dimension 7 within the variety \(\mathcal{N}_7^2\). This allows us to obtain the rigid algebras in \(\mathcal{N}_7^2\), whose closures give the irreducible components of the variety.
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    nilpotent Lie algebras
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    variety of Lie algebras
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    degenerations
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