(M,H)-临界矩阵

(M, H)-Critical Matrices

引进 (M ,H)临界矩阵的概念 ,研究由广义对称算子诱导的两非零广义对称张量相等的必要条件和 X∈Mn(C) ,多项式恒等式dHM(AX) =dHM(XA)成立的充要条件 ,这里H是n次对称群Sn 的子群 。

The concept of ( M,H) Critical Matrices is introduced to prove that necessary condition under which two nonzero generalized symmetric tensors derived from generalized symmetrizer are equal, and the necessary and sufficient conditions under which polynomial identities d H M (AX)=d H M(XA), X∈M n where d H M denotes matrix function derived from unitary matrix representation M of the group H, S n the Symmetric group of degree n , and H a subgroup of S n .