Multisymmetric polynomials in dimension three

Details Multisymmetric polynomials in dimension three Multisymmetric polynomials in dimension three

2009-12-08

arxiv.org/abs/0912.1582v1

Mathematics

Representation Theory

22 pages

Scientific paper

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 $n$-dimensional vector variables, a relation of degree $2n$ among the polarized power sums is presented such that it is not contained in the ideal generated by lower degree relations.

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