Asymptotic Behavior in Lie Nilpotent
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 848-854

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The present paper is devoted to estimating the codimensions $c_n$ for the variety of associative algebras given by the identity $[x_1,\dots,x_l]=0$ for odd $l$. The characteristic of the ground field is different from $2$ and $3$. The construction of the so-called extended Grassmann algebra is applied very effectively.
Keywords: Lie nilpotent algebra, codimension of a $T$-ideal, extended Grassmann algebra, measure of inclusion.
@article{MZM_2020_107_6_a3,
     author = {A. V. Grishin},
     title = {Asymptotic {Behavior} in {Lie} {Nilpotent}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {848--854},
     publisher = {mathdoc},
     volume = {107},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a3/}
}
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A. V. Grishin. Asymptotic Behavior in Lie Nilpotent. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 848-854. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a3/