| 一类Weyi型单李超代数 |
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| 引用本文： | 秦玉芳,王颖,陈玉珍.一类Weyi型单李超代数[J].数学杂志,2008,28(4). |
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| 作者姓名： | 秦玉芳 王颖 陈玉珍 |
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| 摘 要： | 本文研究了单李超代数的构造理论.借助于张量积方法,定义了一类Weyl型结合超代数和一类Weyl型李超代数,并且证明了这类Weyl型结合超代数和Weyl型李超代数是单的充分必要条件.
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| 关 键 词： | 单李超代数 单结合超代数 超交换 Lie superalgebra associative superalgebra supercommutative 单李超代数 TYPE LIE SUPERALGEBRA SIMPLE prove necessary conditions addition class associative type defined method of tensor product study construction theory simple paper 条件 结合超代数 |
A CLASS OF SIMPLE LIE SUPERALGEBRA OF WEYL TYPE |
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| QIN Yufang,WANG Ying,CHEN Yuzhen.A CLASS OF SIMPLE LIE SUPERALGEBRA OF WEYL TYPE[J].Journal of Mathematics,2008,28(4). |
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| Authors: | QIN Yufang WANG Ying CHEN Yuzhen |
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| Abstract: | In this paper, we study the construction theory of simple Lie superalgebras. By using the method of tensor product, a class of associative superalgebraa and Lie auperalgebras of Weyl type are defined. In addition, we prove the sufficient and necessary conditions of the simplicity of the associative and the Lie superalgebras. |
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| Keywords: | Lie superalgebra associative superalgebra supercommutative |
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