Degenerations of 8-dimensional 2-step nilpotent Lie algebras

2019/09/10 by Alvarez, María Alejandra · 1 citation
#17B30 #17B99 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1909.04449

Abstract

In this work, we consider degenerations between 8-dimensional 2-step nilpotent Lie algebras over ℂ and obtain the geometric classification of the variety N²₈.

Cited by

• 8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char ≠ 2, 3

Related

• Degenerations of 7-dimensional nilpotent Lie algebras
• Real non-degenerate two-step nilpotent Lie algebras of dimension eight
• 8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char ≠ 2, 3
• Filiform Lie algebras of dimension 8 as degenerations
• Generating Hypergraphs, Decomposability and Classification of Two-Step Nilpotent Lie Algebras