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New Properties of the Lie Algebra Variety N2A

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Abstract

We continue to consider the properties of the almost polynomial growth variety of Lie algebras over a field of characteristic zero defined by the identity (x 1 x 2)(x 3 x 4)(x 5 x 6) ≡ 0. Here we have constructed the bases of its multilinear parts and proved the formulas for the colength and codimension sequences of this variety.

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Authors and Affiliations

  1. Department of Algebra and Geometric Computations, Ulyanovsk State University, Ulyanovsk, 432970, Russia

    S. P. Mishchenko & Y. R. Fyathutdinova

Authors
  1. S. P. Mishchenko
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  2. Y. R. Fyathutdinova
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Correspondence to S. P. Mishchenko.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 7, pp. 165–173, 2011/12.

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Mishchenko, S.P., Fyathutdinova, Y.R. New Properties of the Lie Algebra Variety N2A. J Math Sci 197, 558–564 (2014). https://doi.org/10.1007/s10958-014-1734-1

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  • DOI: https://doi.org/10.1007/s10958-014-1734-1

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