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On liezation of the Leibniz algebras and its applications

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Abstract

We consider some the fundamental properties of the Leibniz algebras. Some results were known before, but in the paper they are proved by a single method of liezation—the transition to a Lie algebra, which gives for a number of cases greatly simplified proof. There are also some new results.

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Authors and Affiliations

  1. Russian State Technological University, ul. Orshanskaya 3, Moscow, 121552, 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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Original Russian Text © V.V. Gorbatsevich, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 4, pp. 14–22.

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Gorbatsevich, V.V. On liezation of the Leibniz algebras and its applications. Russ Math. 60, 10–16 (2016). https://doi.org/10.3103/S1066369X16040034

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