Classification of solvable Lie algebras

2004/04/05 by Willem A. de Graaf, W. A. de Graaf, de Graaf, W. A. · 3 citations
Mathematics · #Advanced Topics in Algebra #math.RA #msc:17B30

paper · pdf · doi:10.48550/arxiv.math/0404071

16 pages

arxiv created 2004/04/05 · arxiv updated 2009/12/01

Abstract

We illustrate some simple ideas that can be used for obtaining a classification of small-dimensional solvable Lie algebras.Using these we obtain the classification of 3 and 4 dimensional solvable Lie algebras (over fields of any characteristic). Precise conditions for isomorphism are given.

Cited by

• Complete and cocomplete Lie algebras with injective and projective properties
• On solvable Lie algebras of small breadth
• Classification of restricted Lie algebras of dimension 4

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