MOUSTROU, Philippe; RIENER, Cordian; VERDURE, Hugues

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MOUSTROU, Philippe
Institut de Mathématiques de Bordeaux [IMB]

RIENER, Cordian
The Arctic University of Norway [Tromsø, Norway] [UiT]

VERDURE, Hugues
The Arctic University of Norway [Tromsø, Norway] [UiT]

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Autre document

Este ítem está publicado en

2019-12-11

Resumen en inglés

An ideal of polynomials is symmetric if it is closed under permutations of variables. We relate general symmetric ideals to the so called Specht ideals generated by all Specht polynomials of a given shape. We show a connection between the leading monomials of polynomials in the ideal and the Specht polynomials contained in the ideal. This provides applications in several contexts. Most notably, this connection gives information about the solutions of the corresponding set of equations. From another perspective, it restricts the isotypic decomposition of the ideal viewed as a representation of the symmetric group.< Leer menos

URI

https://oskar-bordeaux.fr/handle/20.500.12278/192584

Proyecto europeo

Polynomial Optimization, Efficiency through Moments and Algebra

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Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251