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Lie algebras with extremal properties

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Abstract

We present two series of Lie algebras with extremal properties. Each algebra of the first series generates a variety of minimal degree polynomial growth. The algebras of this series belong to the Volichenko variety which is of almost polynomial growth. Each algebra of the second series generates a variety of polynomial growth minimal with respect to the leading coefficient of the polynomial. The algebras of this series belong to the variety N 2 A of almost polynomial growth.

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Authors and Affiliations

  1. Ul’yanovsk State University, Ul’yanovsk, Russia

    S. M. Ratseev

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  1. S. M. Ratseev
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Correspondence to S. M. Ratseev.

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Ul’yanovsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 2, pp. 444–454, March–April, 2015.

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Ratseev, S.M. Lie algebras with extremal properties. Sib Math J 56, 358–366 (2015). https://doi.org/10.1134/S0037446615020159

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  • DOI: https://doi.org/10.1134/S0037446615020159

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