The ring of multisymmetric functions
Rings and Algebras
2007-05-23 v2 Combinatorics
Representation Theory
Abstract
Let R be a commutative ring and let n,m be two positive integers. Let be the polynomial ring in m x n commuting independent variables R. The symmetric group on n letters acts diagonally on A(n,m). We give generators and relations of the rings of invariants for this action.
Cite
@article{arxiv.math/0205233,
title = {The ring of multisymmetric functions},
author = {Francesco Vaccarino},
journal= {arXiv preprint arXiv:math/0205233},
year = {2007}
}
Comments
12 pages, amsppt tex