The elementary polynomials in noncommuting variables

Details The elementary polynomials in noncommuting variables The elementary polynomials in noncommuting variables

2002-01-30

arxiv.org/abs/math/0201304v1

Mathematics

Rings and Algebras

18 pages

Scientific paper

We study the ring generated over a field of characteristic 0 by noncommuting
indeterminates {x_1,x_2,...,x_n} subject only to the relations
x_i\sigma_k=\sigma_k x_i, for i,k=1,2,...,n, and their consequences, where
\sigma_k =\sigma_k(x_1,x_2,...,x_n) is the k-th elementary polynomial in the
noncommuting variables x_i. We assume n\geq 3 throughout.

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