| 辛代数的结构 |
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| 引用本文： | 白喜梅,张知学. 辛代数的结构[J]. 河北大学学报(自然科学版), 2001, 21(4): 360-362. DOI: 10.3969/j.issn.1000-1565.2001.04.003 |
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| 作者姓名： | 白喜梅 张知学 |
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| 作者单位： | 河北大学,数学与计算机学院,河北,保定,071002 |
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| 基金项目： | The project is supportedby Natural Science Foundation of Hebei Province(199100) |
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| 摘 要： | 考查了辛代数型与李三系的型之间的关系,在此过程中充分运用了李代数、辛代数、李三系三者之间的关系,建立了辛代数与李三系型之间的关系表达式,并由此证明了型的性质定理.
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| 关 键 词： | 辛代数 辛代数的型 李三系的型 |
| 文章编号： | 1000-1565(2001)04-0360-03 |
| 修稿时间： | 2000-05-24 |
On Symplectic Ternary Algebras |
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| BAI Xi-mei,ZHANG Zhi-xue. On Symplectic Ternary Algebras[J]. Journal of Hebei University (Natural Science Edition), 2001, 21(4): 360-362. DOI: 10.3969/j.issn.1000-1565.2001.04.003 |
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| Authors: | BAI Xi-mei ZHANG Zhi-xue |
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| Abstract: | The authors investigate the corresponence between the trace form of a Lie triple system and that of a symplectic ternary algebra.In the progress of the note,the authors make use of the relationships among Lie algebras,Lie triple systems,and symplectic ternary algebras,and construct the relation formula of the forms.By this formula,the authors draw the conclusion of theorem about the forms. |
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| Keywords: | symplectic ternary algebras trace form of symplectic ternary algebras trace form of Lie triple systems |
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