The elementary polynomials in noncommuting variables
环与代数
2007-05-23 v1 组合数学
摘要
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.
引用
@article{arxiv.math/0201304,
title = {The elementary polynomials in noncommuting variables},
author = {Samuel S. Holland},
journal= {arXiv preprint arXiv:math/0201304},
year = {2007}
}
备注
18 pages