| 一类特殊的交错矩阵几何 |
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| 引用本文： | 肖旭. 一类特殊的交错矩阵几何[J]. 大庆师范学院学报, 2010, 30(6) |
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| 作者姓名： | 肖旭 |
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| 作者单位： | 长沙理工大学数学与计算科学学院; |
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| 基金项目： | 湖南省教育厅资助科研项目 |
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| 摘 要： | 设F是域,KS2n(F)表示F上所有形如(0,A,-tA,0)的交错矩阵的的集合,其中A∈Fn×n(n≥2),φ是KS2n(F)到自身的保距离可加性的双射,本研究主要讨论φ的代数表达式。
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| 关 键 词： | 矩阵几何 交错矩阵 粘切 算术距离 距离可加性 |
Special Kind of Geometry of Alternate Matrices |
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| XIAO Xu. Special Kind of Geometry of Alternate Matrices[J]. Journal of Daqing Normal University, 2010, 30(6) |
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| Authors: | XIAO Xu |
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| Affiliation: | XIAO Xu ( School of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha 410004,China) |
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| Abstract: | Let F be a field. Denote by KS2n( F) the set of all alternate matrices over F which are of the form (0,A,-tA,0),where A∈Fn×n( n≥2) . Let φ be a bijective map from KS2n( F) to itself such that φ is called a preserver of distance-additivity. In the paper,I mainly discuss the algebraic expression of φ . |
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| Keywords: | geometry of matrices alternate matrix adjacency preserver of distance-additivity |
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