| 单Lie代数G2及其变形的结合型 |
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| 引用本文： | 刘东. 单Lie代数G2及其变形的结合型[J]. 华东师范大学学报(自然科学版), 2000, 0(4): 1-8 |
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| 作者姓名： | 刘东 |
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| 作者单位： | 常州师范学校,江苏,常州,213004 |
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| 摘 要： | 1993年,沈光宇教授构造了特征2域上一类新的单Lie代数,称为G2的变形。该文主要论证单Lie代数G2及其变形皆拥有唯一一个非退化结合型,并讨论这个结合型与这些Lie代数的根空间,自同构之间的关系。
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| 关 键 词： | 变形 结合型 单Lie代数 根空间 自同构 |
| 修稿时间： | 1999-01-01 |
The Associative Forms of G2 and Its Variations |
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| LIU Dong. The Associative Forms of G2 and Its Variations[J]. Journal of East China Normal University(Natural Science), 2000, 0(4): 1-8 |
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| Authors: | LIU Dong |
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| Abstract: | In [1],Prof. Shen Guangyu constructed classes of new simple Lie algebras of characteristic 2,which are some "variations" of G2. In this paper,We show that G2 and its variations all possess a unique nondegenerate asociative form. And the relations among the forms,root spaces and automorphisms of G2 and ViG,i=3,4,7,are illustrated. |
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| Keywords: | Variation Associative form Lie algebra |
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