多项式恒等式d_(Δ_(kk))~G(AX)=d_(Δ_(kk))~G(X)成立的条件  

The Condition for Polynomial Identities d_(Δ_(kk))~G(AX)=d_(Δ_(kk))~G(X)

作　　者：王心介[1] 

机构地区：[1]华中科技大学数学系

出　　处：《华中科技大学学报（自然科学版）》2001年第3期113-116,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

摘　　要：讨论多项式恒等式dGΔkk(AX) =dGΔkk(X) (dGΔkk常简记为dGkk) X∈Mm(C)成立的充要条件 ,这里G是m次对称群Sm 的子群 ;dGkk(A)The author discusses the necessary and sufficient conditions under which polynomial identities d G kk (AX)= d G kk (X), X∈M m(c) , where d G kk denotes matrix function derived from principal element of unitary matrix representation Δ of the group G , and G is a subgroup of the full symmetric group S m .

关 键 词：主元素 矩阵函数 轨道 多项式恒等式 次对称子群 恒等置换 完全线性群 

分 类 号：O151.21[理学—数学] O157.1[理学—基础数学]