| 典型Weyl群上的最长元和最高根 |
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| 引用本文： | 刘春,张细苟,汪恭强.典型Weyl群上的最长元和最高根[J].江西科学,2008,26(4):548-551. |
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| 作者姓名： | 刘春 张细苟 汪恭强 |
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| 作者单位： | 江西师大数信学院,江西,南昌330022 |
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| 摘 要： | 给出了典型weyl群上的最长元的一般形式。同时，也详细地给出了最长元对于单系的作用，以及最高根所对应的反射。
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| 关 键 词： | 有限反射群 最长元 单系 最高根 |
The Longest Elements and the Highest Roots in the Classical Weyl Groups |
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| LIU Chun,ZHANG Xi-gou,WANG Gong-qiang.The Longest Elements and the Highest Roots in the Classical Weyl Groups[J].Jiangxi Science,2008,26(4):548-551. |
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| Authors: | LIU Chun ZHANG Xi-gou WANG Gong-qiang |
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| Institution: | (College of Mathematics and Information Science,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC) |
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| Abstract: | This paper gives the general expression of the longest elements in classical Weyl groups.At the same time we give the results of the longest element acting the corresponding to simple roots and gives the general expression of the reflections corresponding to the highest roots. |
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| Keywords: | The finite reflection group The longest element The simple system The highest root |
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