| Laurent多项式代数C[x_1~(±1),x_2~(±1)]上的李三系 |
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| 引用本文： | 李昭,曾波,曹佑安.Laurent多项式代数C[x_1~(±1),x_2~(±1)]上的李三系[J].数学学报,2012(5):811-816. |
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| 作者姓名： | 李昭 曾波 曹佑安 |
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| 作者单位： | 湘潭大学数学与计算科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11171202);湖南省教育厅一般资助项目(10C1260) |
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| 摘 要： | 设A为交换变元x_1,x_2的罗朗多项式代数,记A的导子代数Der A为M.本文确定了A,M的对合自同构.利用M的对合自同构给出了一类无限维单李三系,并且通过讨论M的自同构与对合自同构的关系,确定这些单李三系的自同构.
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| 关 键 词： | 罗朗多项式代数 李三系 自同构 |
Lie Triple Systems Associated with the Laurent Polynomial Algebra C[x1±1,x2±1] |
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| Zhao LI Bo,ZENG You,An CAO.Lie Triple Systems Associated with the Laurent Polynomial Algebra C[x1±1,x2±1][J].Acta Mathematica Sinica,2012(5):811-816. |
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| Authors: | Zhao LI Bo ZENG You An CAO |
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| Institution: | School of Mathematical Science,Xiangtan University,Xiangtan 411105,P.R.China |
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| Abstract: | Let A be the Laurent polynomial algebra in commutative variables x_1,x_2. Denote the derivation algebra Der A of A by M.In this paper,we determine the involution automorphisms of A.M.We use the involution automorphisms of M to construct some infinitely dimensional simple Lie triple systems.The automorphisms of these simple Lie triple systems are also determined by discussing the relationships between the automorphisms and the involution automorphisms of M. |
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| Keywords: | Laurent polynomial algebra Lie triple system automorphism |
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