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Symmetry 2018, 10(1), 26; https://doi.org/10.3390/sym10010026

The Variety of 7-Dimensional 2-Step Nilpotent Lie Algebras

Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta 1240000, Chile
Received: 19 December 2017 / Revised: 2 January 2018 / Accepted: 6 January 2018 / Published: 11 January 2018
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Abstract

In this note, we consider degenerations between complex 2-step nilpotent Lie algebras of dimension 7 within the variety N 7 2 . This allows us to obtain the rigid algebras in N 7 2 , whose closures give the irreducible components of the variety. View Full-Text
Keywords: nilpotent Lie algebras; variety of Lie algebras; degenerations nilpotent Lie algebras; variety of Lie algebras; degenerations
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Alvarez, M.A. The Variety of 7-Dimensional 2-Step Nilpotent Lie Algebras. Symmetry 2018, 10, 26.

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