Article
When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?
Author/s | Briand, Emmanuel |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2004 |
Deposit Date | 2021-05-25 |
Published in |
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Abstract | Multisymmetric polynomials are the $r$-fold diagonal invariants of the symmetric group ${\mathfrak{S}}_n$. Elementary multisymmetric polynomials are analogues of the elementary symmetric polynomials, in the multisymmetric ... Multisymmetric polynomials are the $r$-fold diagonal invariants of the symmetric group ${\mathfrak{S}}_n$. Elementary multisymmetric polynomials are analogues of the elementary symmetric polynomials, in the multisymmetric setting. In this paper, we give a necessary and sufficient condition on a ring $A$ for the algebra of multisymmetric polynomials with coefficients in $A$ to be generated by the elementary multisymmetric polynomials. |
Citation | Briand, E. (2004). When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?. Beiträge zur Algebra und Geometrie : Contributions to Algebra and Geometry, 45 (2), 353-368. |
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