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矩阵的中心化子及其维数

夏卫东 吴月柱

Journal of Changshu Institute of TechnologyIssue(2):32-37,41,7.
Journal of Changshu Institute of TechnologyIssue(2):32-37,41,7.

矩阵的中心化子及其维数

Centralizer of Matrices and Its Dimension

夏卫东 1吴月柱1

作者信息

  • 1. 常熟理工学院 数学与统计学院,江苏 常熟 215500
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摘要

Abstract

Denoted by Mn(C) the set of all n × n matrices over the complex number field C . For A∈Mn(C) , C(A)={ }B∈Mn(C) | AB=BA is called the centralizer of A . In this paper, using similar transformation and Jor-dan matrix, the authors of this paper determine C(A) and dim C(A) for any A∈Mn(C) .

关键词

中心化子/Jordan标准型/维数

Key words

centralizers/Jordan canonical form/dimension

分类

数理科学

引用本文复制引用

夏卫东,吴月柱..矩阵的中心化子及其维数[J].Journal of Changshu Institute of Technology,2014,(2):32-37,41,7.

Journal of Changshu Institute of Technology

1008-2794

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