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Graded lie algebras with null component contained in a sum of commuting algebras

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Abstract

For any characteristic of a ground field that is assumed to be algebraically closed, the description of transitive irreducible 1-graded Lie algebras with the null component contained in a sum of commuting non-Abelian algebras is obtained.

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Authors and Affiliations

  1. Nizhny Novgorod University named after N. I. Lobachevsky, Nizhny Novgorod, Russia

    M. I. Kuznetsov

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  1. M. I. Kuznetsov
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Correspondence to M. I. Kuznetsov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 7, pp. 145–150, 2008.

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Kuznetsov, M.I. Graded lie algebras with null component contained in a sum of commuting algebras. J Math Sci 164, 250–254 (2010). https://doi.org/10.1007/s10958-009-9725-3

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  • DOI: https://doi.org/10.1007/s10958-009-9725-3

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