FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 7, PAGES 165-173

New properties of the Lie algebra variety $$N₂A

S. P. Mishchenko
Y. R. Fyathutdinova

Abstract

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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 $(x$₁x₂)(x₃x₄)(x₅x₆) º 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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Last modified: May 24, 2013