Classification of 5-dimensional restricted Lie algebras over perfect\n fields, I

2014/12/29 by Iren Darijani, Hamid Usefi, Darijani, Iren +1
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1412.8377

openalex publication_date 2014/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to classify all p-nilpotent restricted Lie\nalgebras of dimension 5 over perfect fields of characteristic p\≥ 5. Our\nwork builds upon the recent work of Schneider and Usefi on the classification\nof p-nilpotent restricted Lie algebras of dimension up to 4 over perfect\nfields of characteristic p. The method we use here to classify p-nilpotent\nrestricted Lie algebras is the analogue of Skjelbred-Sund method for\nclassifying nilpotent Lie algebras.\n

Related

• The classification of p-nilpotent restricted Lie algebras of dimension at most 4
• Classification of restricted Lie algebras of dimension 4
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• A computer-based approach to the classification of nilpotent Lie\n algebras
• A classification of nilpotent compatible Lie algebras