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Invariant polynomial : ウィキペディア英語版 | Invariant polynomial In mathematics, an invariant polynomial is a polynomial that is invariant under a group acting on a vector space . Therefore is a -invariant polynomial if : for all and . 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==
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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
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