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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク invariant polynomial ： ウィキペディア英語版 invariant polynomial In mathematics, an invariant polynomial is a polynomial $P$ that is invariant under a group $\backslash Gamma$ acting on a vector space $V$. Therefore $P$ is a $\backslash Gamma$-invariant polynomial if :$P(\backslash gamma\; x)\; =\; P(x)$ for all $\backslash gamma\; \backslash in\; \backslash Gamma$ and $x\; \backslash in\; V$. Cases of particular importance are for Γ a finite group (in the theory of Molien series, in particular), a compact group, a Lie group or algebraic group. For a basis-independent definition of 'polynomial' nothing is lost by referring to the symmetric powers of the given linear representation of Γ. ==References== * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「invariant polynomial」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.