| 李三系与Laurent多项式代数F[t,t~(-1)] |
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| 引用本文： | 史毅茜,孟道骥.李三系与Laurent多项式代数F[t,t~(-1)][J].数学年刊A辑(中文版),2005(5). |
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| 作者姓名： | 史毅茜 孟道骥 |
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| 基金项目： | 国家自然科学基金(No．10371057,No．102710176)资助的项目． |
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| 摘 要： | 本文通过讨论Laurent多项式代数及其导子代数的对合自同构确定了一类具体的无限维单李三系, 并且提供了一种利用Novikov代数上自然的李代数结构来构造李三系的方法.
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| 关 键 词： | 李三系 李代数 Laurent多项式代数 |
LIE TRIPLE SYSTEMS ASSOCIATED WITH LAURENT-POLYNOMIAL ALGEBRA F[t, t~(-1)] |
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| Abstract: | This paper constructs a class of infinite simple Lie triple systems from the derivation of Laurent-polynomial algebra Ft, t-1]. By the relation between associative algebra, Novikov algebra and Lie algebra, some other Lie triple systems are also obtained. |
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| Keywords: | Lie triple system Lie algebra Laurent-polynomial algebra |
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