Ivan Shishkin, Birch Grove

Symmetric polynomial

Definition / General algebra / Usable

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A symmetric polynomial is a polynomial P∈k[X1,…,Xn]P\in k[X_{1},\ldots,X_{n}] such that, for every permutation σ∈Sn\sigma \in S_{n}:
P(Xσ(1),…,Xσ(n))=P(X1,…,Xn).P(X_{\sigma(1)},\ldots,X_{\sigma(n)})=P(X_{1},\ldots,X_{n}).

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