A computer-based approach to the classification of nilpotent Lie\n algebras

2004/06/18 by Csaba Schneider, Schneider, Csaba
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Medicine · #17-08 #17B05 #17B30 #Chromatin Remodeling and Cancer #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #Viral-associated cancers and disorders

paper · pdf · doi:10.48550/arxiv.math/0406365

openalex publication_date 2004/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We adopt the p-group generation algorithm to classify small-dimensional\nnilpotent Lie algebras over small fields. Using an implementation of this\nalgorithm, we list the nilpotent Lie algebras of dimension at most~9 over\n F₂ and those of dimension at most~7 over F₃ and F₅.\n

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