| 型E7根系的结构 |
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| 引用本文： | 闫爱民,胡建华.型E7根系的结构[J].上海理工大学学报,2014,36(1):5-11. |
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| 作者姓名： | 闫爱民 胡建华 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目（11201299） |
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| 摘 要： | 建立了型E7根系到有限域瓕/2上的向量空间(瓕/2×瓕/2)3的单射;借此映射,结合根系的分层来讨论根系的正交关系和偏序关系.分别给出了同一层间以及不同层间根的正交性的判别方法,并将第七层上的这两种关系在立方体中体现出来.类似的,其它层上的这两种关系也可在立方体中体现出来.
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| 关 键 词： | 根系 偏序 正交 |
| 收稿时间： | 2013/3/31 0:00:00 |
Structure of Type E7 Root System |
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| YAN Ai-min and HU Jian-hua.Structure of Type E7 Root System[J].Journal of University of Shanghai For Science and Technology,2014,36(1):5-11. |
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| Authors: | YAN Ai-min and HU Jian-hua |
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| Institution: | Colloge of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;Colloge of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | An injective map from type E7 root system to vector space (Z/2×Z/2)3 over finite field Z/2 was developed.By means to the injective map and the stratification of the root system,the relations of partial order and orthogonality between roots were investigated.The identification method of orthogonality between roots on the same stratum and different strata were provided.The two relations on the seventh stratum were made to be visualized in a cube.Similarly,the two relations on other strata can also be reflected in the cube. |
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| Keywords: | root system partial order orthogonality |
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