| 李三系的中心扩张 |
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| 引用本文： | 白喜梅,白瑞蒲.李三系的中心扩张[J].数学的实践与认识,2011,41(8). |
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| 作者姓名： | 白喜梅 白瑞蒲 |
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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： | 河北省自然科学基金，保定市科技攻关计划项目 |
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| 摘 要： | 李三系是从黎曼对称空间产生的三元运算的代数系统,近年来备受数学家们的重视.对李三系的中心扩张问题进行了研究,提出了Heisenberg李三系的概念,并对任意线性空间给出了构造Heisenberg李三系的一种方法.
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| 关 键 词： | 李三系 中心扩张 3元闭链 Heisenberg李三系 |
Central Extension of Lie Triple Systems |
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| BAI Xi-mei,BAI Rui-pu.Central Extension of Lie Triple Systems[J].Mathematics in Practice and Theory,2011,41(8). |
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| Authors: | BAI Xi-mei BAI Rui-pu |
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| Institution: | BAI Xi-mei,BAI Rui-pu (Department of Mathmatics and Computer,Hebei University,Baoding 071002,China) |
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| Abstract: | Lie triple system is an algebraic system with a ternary composition abstracted from Rienannian symmetric space and is paid to close attention by mathematicians.This paper mainly studies the central extension of Lie triple system,and proposes the concept of Heisenberg Lie triple system.For every vector space,the authors give a method to construct Heisenberg Lie triple system. |
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| Keywords: | lie triple system central extension three closed chain heisenberg lie triple system |
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