S. P. Mishchenko, Y. R. Fyathutdinova, “New properties of the Lie algebra variety <nobr>$\mathbf N_2\mathbf A$</nobr>”, Fundam. Prikl. Mat., 2012, Volume 17, Issue 7,Pages <nobr>165

This article is cited in 3 papers

New properties of the Lie algebra variety $\mathbf N_2\mathbf A$

S. P. Mishchenko, Y. R. Fyathutdinova

Ulyanovsk State University

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 $(x_1x_2)(x_3x_4)(x_5x_6)\equiv0$. Here we have constructed the bases of its multilinear parts and proved the formulas for the colength and codimension sequences of this variety.

UDC: 512.5