FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 3, PAGES 135-148

**On $T$-spaces and relations in relatively
free, Lie nilpotent, associative algebras**

A. V. Grishin

L. M. Tsybulya

A. A. Shokola

Abstract

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The purpose of this work is to obtain the commutator relations and
Frobenius relations in a relatively free algebra $F(l)$ specified
by the identity $[x$_{1},...,x_{l}]=0
over a field of characteristic $p\; >\; 0$.
These relations for $l\; >\; 3$ are analogous to the relations in the
algebra $F(3)$ and are
applied to the $T$-spaces in the
algebra $F(l)$.
In order to study the relations in $F(l)$ in more
detail, we construct a model algebra analogous to the Grassmann
algebra.

Location: http://mech.math.msu.su/~fpm/eng/k10/k103/k10307h.htm

Last modified: March 24, 2011