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The Weakly Solvable Radical and Locally Strongly Algebraic Derivations of Locally Generalized Special Lie Algebras

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Abstract

In this paper, the classical theorem on the image of the solvable radical of a finite-dimensional Lie algebra over a field of characteristic zero under the action of its derivation is generalized to locally generalized special Lie algebras.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Faculty of Informatics and Control Systems, Moscow, Russia

    A. Yu. Golubkov

  2. Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia

    A. Yu. Golubkov

Authors
  1. A. Yu. Golubkov
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Correspondence to A. Yu. Golubkov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 23, No. 2, pp. 89–99, 2020.

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Golubkov, A.Y. The Weakly Solvable Radical and Locally Strongly Algebraic Derivations of Locally Generalized Special Lie Algebras. J Math Sci 262, 652–659 (2022). https://doi.org/10.1007/s10958-022-05845-5

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  • DOI: https://doi.org/10.1007/s10958-022-05845-5

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