| 偶特征正交空间中子空间包含关系的条件及矩阵表示 |
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| 引用本文： | 吴炎,王恩周,霍元极.偶特征正交空间中子空间包含关系的条件及矩阵表示[J].数学杂志,2006,26(2):209-216. |
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| 作者姓名： | 吴炎 王恩周 霍元极 |
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| 作者单位： | 1. 琼州大学数学系,海南,五指山,572200
2. 海南软件职业技术学院,海南,琼海,571400 |
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| 基金项目： | 海南自然科学基金资助项目(10401). |
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| 摘 要： | 本文研究了特征为2的有限域上正交空间中子空间的包含关系和子空间的矩阵表示,利用了偶特征正交几何的理论,得到了偶特征正交空间中子空间的包含条件和矩阵表示.
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| 关 键 词： | 偶特征 正交空间 有限域 包含关系 矩阵表示 |
| 文章编号： | 0255-7797（2006）02-0209-08 |
| 收稿时间： | 2003-12-31 |
| 修稿时间： | 2003-12-312004-06-06 |
THE INCLUSION CONDITIONS AND MATRIX REPRESENTATIONS OF SUBSPACES IN EVEN CHARACTERISTIC ORTHOGONAL SPACE |
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| WU Yan,WANG En-zhou,HUO Yuan-ji.THE INCLUSION CONDITIONS AND MATRIX REPRESENTATIONS OF SUBSPACES IN EVEN CHARACTERISTIC ORTHOGONAL SPACE[J].Journal of Mathematics,2006,26(2):209-216. |
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| Authors: | WU Yan WANG En-zhou HUO Yuan-ji |
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| Institution: | 1. Dept. of Math. ,Qiongzhou University Wuzhishan 572200, China;2. Hainan Software Vocational Technology College ,Qionghai 571400, China |
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| Abstract: | In this paper, the authors study the inclusion relationship and matrix representations of the subspaces in the orthogonal space over finite field of characteristic 2, and using the theory of even characteristic orthogonal geometry, the authors also give the inclusion conditions and matrix representations of the subspaces in the even characteristic orthogonal space. |
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| Keywords: | even characteristic orthogonal space finite field inclusion relation matrix representation |
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