Characterization of matrices satisfying certain polynomial identities

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作者：
Wang, Xinjie [1 ]
机构：
[1] Dept. of Math., HUST, Wuhan 430074, China
来源：
Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology | 2001年 / 29卷 / 12期
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摘要：
This paper deals with two problems: a. The characterization of the singular matrices A satisfying (1) dMH (AX) = dMH (XA), [for all] X is a member of the set of Mn (C) can be reduced to that of matrices satisfying (2) dMH (AX) = 0, [for all] X is a member of the set of M (C); b. Two results on the characterization of (2) are obtained. dMH denotes matrix function derived from unitary matrix representing M of the group H, Sn shall be the symmetric group of degree n, and H denotes a subgroup of Sn.
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页码：104 / 106
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