| 辛代数的Peirce分解 |
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| 引用本文： | 刘文丽,张知学. 辛代数的Peirce分解[J]. 河北大学学报(自然科学版), 2001, 21(4): 363-365. DOI: 10.3969/j.issn.1000-1565.2001.04.004 |
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| 作者姓名： | 刘文丽 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： | 考察辛代数的Peirce分解.在此过程中应用了Meyberg K.关于结合代数的Peirce分解,利用结合代数的幂等元,得到了辛代数的Peirce分解,并得出2个重要定理.
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| 关 键 词： | 辛代数 Peirce分解 幂等元 严格正交 |
| 文章编号： | 1000-1565(2001)04-0363-03 |
| 修稿时间： | 2001-05-24 |
On the Peirce Decomposition for Symplectic Algebras |
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| LIU Wen-li,ZHANG Zhi-xue. On the Peirce Decomposition for Symplectic Algebras[J]. Journal of Hebei University (Natural Science Edition), 2001, 21(4): 363-365. DOI: 10.3969/j.issn.1000-1565.2001.04.004 |
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| Authors: | LIU Wen-li ZHANG Zhi-xue |
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| Abstract: | The main purpose of this note is to study a Peirce decomposition for a symplectic algebra.The authors define the symplectic algebra by identities which are modified from the symplectic algebra in the paper on the structure of symplectic ternary algebras of Faulkner J R and Ferrar J C.but it is more comprehensive.Throughout the authors assume symplectic algebras over algebraically closed fields of characteristic zero unless otherwise specified. |
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| Keywords: | symplectic peirce decomposition idempotent strictly orthogonal. |
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