| The centralizer of an element in a Lie algebra of type L |
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| 作者姓名： | LU Caihui & SHAO Wenwu |
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| 作者单位： | LU Caihui & SHAO Wenwu
Department of Mathematics，Capital Normal University，Beijing 100037，China Correspondence should be addressed to Shao Wenwu |
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| 基金项目： | 国家自然科学基金，北京市教委科研项目 |
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| 摘 要： | In this paper, we investigate the Lie algebra L(A, α, δ) of type L and obtain the respective sufficient conditions for L(A, α,δ) to be semisimple, and for Z(ω) = Fω as well, where 0 ≠ ω ∈ L(A, α, δ) and Z(ω) is the centralizer of ω.
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The centralizer of an element in a Lie algebra of type L |
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| LU Caihui & SHAO Wenwu.The centralizer of an element in a Lie algebra of type L[J].Science in China(Mathematics),2004,47(6). |
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| Authors: | LU Caihui SHAO Wenwu |
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| Institution: | Department of Mathematics, Capital Normal University, Beijing 100037, China |
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| Abstract: | In this paper, we investigate the Lie algebra L(A, α, δ) of type L and obtain the respective sufficient conditions for L(A, α, δ) to be semisimple, and for Z(ω) = Fω as well,where 0 ≠ω∈ L(A, α, δ) and Z(ω) is the centralizer of ω. |
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| Keywords: | Lie algebra of type L semisimple Lie algebra centraiizer total ordering |
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