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Some Properties of Almost Abelian Lie Algebras

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Abstract

We study finite-dimensional Lie algebras which have a codimension one abelian ideal and prove some their properties including those related to the structure of the space of all Lie algebras. We also compute the automorphism groups of such Lie algebras.

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Authors and Affiliations

  1. Moscow, Russia

    V. V. Gorbatsevich

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  1. V. V. Gorbatsevich
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Correspondence to V. V. Gorbatsevich.

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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 4, pp. 26–42.

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Gorbatsevich, V.V. Some Properties of Almost Abelian Lie Algebras. Russ Math. 64, 21–34 (2020). https://doi.org/10.3103/S1066369X20040039

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  • DOI: https://doi.org/10.3103/S1066369X20040039

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