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- W2987229902 abstract "This article studies separating invariants for the ring of multisymmetric polynomials in $m$ sets of $n$ variables over an arbitrary field $mathbb{K}$. We prove that in order to obtain separating sets it is enough to consider polynomials that depend only on $lfloor frac{n}{2} rfloor + 1$ sets of these variables. This improves a general result by Domokos about separating invariants. In addition, for $n leq 4$ we explicitly give minimal separating sets (with respect to inclusion) for all $m$ in case $text{char}(mathbb{K}) = 0$ or $text{char}(mathbb{K}) > n$." @default.
- W2987229902 created "2019-11-22" @default.
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- W2987229902 date "2019-11-12" @default.
- W2987229902 modified "2023-10-03" @default.
- W2987229902 title "Separating invariants for multisymmetric polynomials" @default.
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