Multisymmetric polynomials in dimension three

Domokos, M. and Puskás, A. (2012) Multisymmetric polynomials in dimension three. Journal of Algebra, 356(1), pp. 283-303. (doi: 10.1016/j.jalgebra.2012.01.016)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Puskas, Dr Anna
Authors: Domokos, M., and Puskás, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Algebra
Publisher:Elsevier
ISSN:0021-8693
ISSN (Online):1090-266X
Published Online:10 February 2012

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