【摘要】 讨论Ａ∈ＧＬ（ｎ，ｃ）时，　 Ｘ∈Ｍｎ（Ｃ），多项式恒等式ｄ_Ｍ~Ｈ（ＡＸ）＝ｄ_Ｍ~Ｈ（ＸＡ）成立的充要条件，这里Ｈ是ｎ次对称群Ｓ 的子群，而ｄ_Ｍ~Ｈ表示由群Ｈ的酉表示Ｍ诱导的矩阵函数．更多还原

【Abstract】 The necessary and sufficient conditions are introduced under which d_M~H(AX)=d_M~H(XA), X ∈ Mn(C), where A ∈ GL(n,c),d_M~H, X denotes character of group H. The necessary and sufficient conditions are also been introduced under which d_M~H(AX) =d_M~H(X), X ∈ Mn(C), where A ∈ GL(n, c), d_M~H denotes the matrix function derived from unitary matrix representation M of the group Sn being the symmetric group of degree n and H a subgroup of Sn.更多还原