| 四阶双曲型Kac-Moody代数的极小虚根 |
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| 引用本文： | 许成苏,胡建华.四阶双曲型Kac-Moody代数的极小虚根[J].上海理工大学学报,2013,35(6):531-535. |
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| 作者姓名： | 许成苏 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（11126095，11201299） |
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| 摘 要： | 研究了双曲型Kac-Moody 代数的特殊虚根——极小虚根的基本性质及其对应的Dynkin 图的特性，给出了四阶双曲型Kac-Moody 代数的极小虚根的计算方法，并计算出了所有四阶双曲型Kac-Moody 代数的极小虚根.
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| 关 键 词： | Kac-Moody代数 极小虚根 双曲型 |
| 收稿时间： | 2012/9/26 0:00:00 |
Minimal Imaginary Roots of Kac-Moody Algebra of Hyperbolic Type of Order 4 |
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| XU Cheng-su and HU Jian-hua.Minimal Imaginary Roots of Kac-Moody Algebra of Hyperbolic Type of Order 4[J].Journal of University of Shanghai For Science and Technology,2013,35(6):531-535. |
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| Authors: | XU Cheng-su 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: | The Kac-Moody algebra of hyperbolic type was focused.The basic properties of minimal imaginary roots which are special imaginary roots and the characteristics of the corresponding Dynkin diagram were investigarted.A method to calculate the minimal imaginary roots of Kac-Moody algebra of hyperbolic type of order 4 was presented and a complete list of them was given. |
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| Keywords: | Kac-Moody algebra minimal imaginary root hyperbolic type |
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