| 一个未定型李代数g(A)的Weyl群和虚根系的结构 |
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| 引用本文： | 古立翠,王书琴. 一个未定型李代数g(A)的Weyl群和虚根系的结构[J]. 哈尔滨师范大学自然科学学报, 2007, 23(1): 1-4,15 |
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| 作者姓名： | 古立翠 王书琴 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 黑龙江省自然科学基金，黑龙江省教育厅自然科学基金项目 |
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| 摘 要： | 本文研究了相应于未定型广义Cartan矩阵A=H98(3)的(非严格双曲型)Kac-Moody代数g(A)的结构,给出了g(A)的Weyl群的性质和分解,并刻划了g(A)的虚根系△ im,进而证明了△ im的运算性质．构造了△ im的一个子半加群,并研究了它的Weyl不变性．
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| 关 键 词： | Kac-Moody代数 Cartan矩阵 Weyl群 虚根系 |
| 修稿时间： | 2006-11-13 |
THE STRUCTURE OF WEYL GROUP AND IMAGINARY ROOT SYSTEM OF A INDEFINITE LIE ALGEBRA g (A) |
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| Gu Licui,Wang Shuqin. THE STRUCTURE OF WEYL GROUP AND IMAGINARY ROOT SYSTEM OF A INDEFINITE LIE ALGEBRA g (A)[J]. Natural Science Journal of Harbin Normal University, 2007, 23(1): 1-4,15 |
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| Authors: | Gu Licui Wang Shuqin |
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| Affiliation: | Harbin Normal University |
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| Abstract: | In this paper we discussed the structure of Kac - Moody algebra g (A) corresponding indefinite Cartan matrix A=H98(3) , gave the properties of the Weyl group of g(A) , and described the imaginary root system. Moreover we proved the calculate properties of the imaginary root system and also constructed a sub -semigroup of the imaginary root system and gave some properties of it. |
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| Keywords: | Kac - Moody Algebra Cartan Matrix Weyl Group Imaginary Root |
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