On the problem of classifying solvable Lie algebras having small codimensional derived algebras

10 Mar 2020 Duong Hoa Q. Le Vu A. Nguyen Tuan A. Cao Hai T. T. Vo Thieu N.

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... (read more)

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