Abstract:This paper concerns the problem of classifying finite-dimensional real solvable Lie algebras whose derived algebras are of codimension 1 or 2. On the one hand, we present an effective method to classify all (n + 1)-dimensional real solvable Lie algebras having 1-codimensional derived algebras provided that a full classification of n-dimensional nilpotent Lie algebras is given. On the other hand, the problem of classifying all (n + 2)-dimensional real solvable Lie algebras having 2-codimensional derived algebra… Show more
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