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arXiv · 0912.1582

Multisymmetric polynomials in dimension three

M. Domokos·A. Puskás
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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 $n$-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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M. Domokos, A. Puskás. 2009-12-08. Multisymmetric polynomials in dimension three. https://arxiv.org/abs/0912.1582

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