| 无限秩仿射李代数的cartan子代数的共轭性 |
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| 引用本文： | 查建国,胡建华.无限秩仿射李代数的cartan子代数的共轭性[J].数学年刊A辑(中文版),2005(3). |
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| 作者姓名： | 查建国 胡建华 |
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| 作者单位： | 同济大学应用数学系，同济大学应用数学系 上海 200092，上海 200092 |
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| 基金项目： | 国家自然科学基金(No．10271088)，高校博士点基金(No.20040247024)资助的项目． |
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| 摘 要： | 本文给出了无限秩仿射李代数的某种类型的Cartan子代数的定义,并证明了这种Cartan子代数在无限秩仿射李代数的某种类型的自同构下的共轭性.
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| 关 键 词： | 无限秩仿射李代数 Cartan子代数 自同构 |
THE CONJUGACY OF CARTAN SUBALGEBRAS IN INFINITE RANK AFFINE LIE ALGEBRAS |
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| CHA Jianguo HU Jianhua.THE CONJUGACY OF CARTAN SUBALGEBRAS IN INFINITE RANK AFFINE LIE ALGEBRAS[J].Chinese Annals of Mathematics,2005(3). |
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| Authors: | CHA Jianguo HU Jianhua |
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| Institution: | CHA Jianguo HU Jianhua Department of Applied Mathematics,Tongji University,Shanghai 200092. China. Departrnent of Applied Mathematics,Tongji University,Shanghai 200092,China. |
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| Abstract: | This paper first introduces the definition of certain classes of Cartan subalgebras in infinite rank affine Lie algebras, then proves the conjugacy of these kinds of Cartan subalgebras under certain types of automorphisms of infinite rank affine Lie algebras. |
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| Keywords: | Infinite rank affine Lie algebras Cartan subalgebra Automorphism |
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