Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras

摘要

The present paper is devoted to estimating the codimensions c_n for the variety of associative algebras given by the identity [x_1,..., x_1] = 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.