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Applying matrix theory to classify real solvable Lie algebras having 2-dimensional derived ideals

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Abstract We present a new approach to the problem of classifying real solvable Lie algebras having 2-dimensional derived ideals. Partial results on this problem were obtained by Schobel in 1993… Click to show full abstract

Abstract We present a new approach to the problem of classifying real solvable Lie algebras having 2-dimensional derived ideals. Partial results on this problem were obtained by Schobel in 1993 and by Janisse in 2010. In association with the results of Eberlein in 2003, we achieve a full list of real solvable Lie algebras having 2-dimensional derived ideals.

Keywords: algebras dimensional; real solvable; derived ideals; solvable lie; lie algebras; dimensional derived

Journal Title: Linear Algebra and its Applications
Year Published: 2020

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