Geodesic
New properties of the Lie algebra variety $\mathbf N_2\mathbf A$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 7, pp. 165-173
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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 $(x_1x_2)(x_3x_4)(x_5x_6)\equiv0$. Here we have constructed the bases of its multilinear parts and proved the formulas for the colength and codimension sequences of this variety. 
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S. P. Mishchenko; Y. R. Fyathutdinova. New properties of the Lie algebra variety $\mathbf N_2\mathbf A$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 7, pp. 165-173. http://geodesic.mathdoc.fr/item/FPM_2012_17_7_a8/

[1] Bakhturin Yu. A., Tozhdestva v algebrakh Li, Nauka, M., 1980 | MR

[2] Maltsev A. I., “Ob algebrakh s tozhdestvennymi opredelyayuschimi sootnosheniyami”, Mat. sb., 26(68):1 (1950), 19–33 | MR | Zbl

[3] Mischenko S. P., “Mnogoobraziya algebr Li s dvustupenno nilpotentnym kommutantom”, Vestsi AN BSSR. Ser. fiz.-mat. nauk, 1987, no. 6, 39–43

[4] Mischenko S. P., “Rost mnogoobrazii algebr Li”, Uspekhi mat. nauk, 45:6(276) (1990), 25–45 | MR | Zbl

[5] Giambruno A., Zaicev M., Polynomial Identities and Asymptotic Methods, Math. Surveys Monographs, 122, Amer. Math. Soc., Providence, 2005 | DOI | MR | Zbl