| 一类特征单的n-李代数 |
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| 引用本文： | 白瑞蒲,刘娜欣.一类特征单的n-李代数[J].数学年刊A辑(中文版),2011,32(2):185-192. |
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| 作者姓名： | 白瑞蒲 刘娜欣 |
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| 作者单位： | 河北大学数学与计算机学院; |
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| 基金项目： | 国家自然科学基金(No.10871192); 河北省自然科学基金(No.A2010000194)资助的项目 |
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| 摘 要： | 利用结合代数与n-李代数的张量积构造了一类无限维特征单的n-李代数,且证明了除n=3的情形以外,这类特征单n-李代数的内导子代数是特征单李代数.
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| 关 键 词： | n-李代数 导子 张量积 |
A Class of Characteristically Simple n-Lie Algebras |
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| BAI Ruipu and LIU Naxin.A Class of Characteristically Simple n-Lie Algebras[J].Chinese Annals of Mathematics,2011,32(2):185-192. |
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| Authors: | BAI Ruipu and LIU Naxin |
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| Institution: | BAI Ruipu~1 LIU Naxin~1 1 College of Mathematics and Computer Science,Hebei University,Baoding 071002,Hebei,China. |
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| Abstract: | A class of infinite dimensional characteristically simple n-Lie algebras is constructed by means of the tensor product of associative algebras and n-Lie algebras.It is also proved that the inner derivation algebras of the characteristically simple n-Lie algebras are characteristically simple Lie algebras except the case n = 3. |
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| Keywords: | n-Lie algebra Derivation Tensor product |
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