Real non-degenerate two-step nilpotent Lie algebras of dimension eight

2023/08/22 by Borovoi, Mikhail, Dina, Bogdan Adrian, de Graaf, Willem A. · 2 citations
#20G05 #20G20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Primary: 15A21. Secondary: 11E72 #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2308.11413

Abstract

We classify the non-degenerate two-step nilpotent Lie algebras of dimension 8 over the field of real numbers, using known results over complex numbers. We write explicit structure constants for these real Lie algebras.

Cited by

• 8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char ≠ 2, 3
• Stability analysis for the pseudo-Riemannian geodesic flows of step-two nilpotent Lie groups

Related

• 8-dimensional 2-step nilpotent Lie algebras over algebraically closed fields of char ≠ 2, 3
• Degenerations of 8-dimensional 2-step nilpotent Lie algebras
• Generating Hypergraphs, Decomposability and Classification of Two-Step Nilpotent Lie Algebras
• Symplectic structures on 2-step nilpotent Lie algebras
• Minimal algebras and 2-step nilpotent Lie algebras in dimension 7