The Variety of Lie algebras of maximal class

2009/04/21 by Dmitry V. Millionschikov, Millionschikov, Dmitry V.
Mathematics · Physics and Astronomy · #17B30 #17B55 #17B65 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.AC #math.RA #msc:17B30 #msc:17B55 #msc:17B65

paper · pdf · doi:10.48550/arxiv.0904.3181

arxiv created 2009/04/21 · openalex publication_date 2009/04/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an explicit description of the affine variety of Lie algebras of the maximal class (filiform Lie algebras): the formulas of polynomial equations that determine this variety are written. It can considered as the base of the nilpotent versal deformation of N-graded Lie algebra m₀.

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• Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras
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• Graded Lie Algebras of Maximal Class II