Multisymmetric polynomials in dimension three
arXiv:0912.1582
Abstract
The polarizations of one relation of degree five and two relations of degree six minimally generate the ideal of relations among a minimal generating system of the algebra of multisymmetric polynomials in an arbitrary number of three-dimensional vector variables. In the general case of -dimensional vector variables, a relation of degree among the polarized power sums is presented such that it is not contained in the ideal generated by lower degree relations.
22 pages