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Resultant of an equivariant polynomial system with respect to the symmetric group
Abstract : Given a system of n homogeneous polynomials in n variables which is equivariant with respect to the canonical actions of the symmetric group of n symbols on the variables and on the polynomials, it is proved that its resultant can be decomposed into a product of several smaller resultants that are given in terms of some divided differences. As an application, we obtain a decomposition formula for the discriminant of a multivariate homogeneous symmetric polynomial.
Cited literature [12 references]
https://hal.inria.fr/hal-01022345
Contributor : Laurent Busé <>
Submitted on : Monday, February 22, 2016 - 9:17:27 PM
Last modification on : Thursday, November 26, 2020 - 4:00:02 PM
Long-term archiving on: : Sunday, November 13, 2016 - 1:37:03 AM
Contributor : Laurent Busé <>
Submitted on : Monday, February 22, 2016 - 9:17:27 PM
Last modification on : Thursday, November 26, 2020 - 4:00:02 PM
Long-term archiving on: : Sunday, November 13, 2016 - 1:37:03 AM
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equivsymres-final.pdf
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