| 无限维Κ型单模李超代数及其超导子代数 |
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| 引用本文： | 刘冬丽,刘文德.无限维Κ型单模李超代数及其超导子代数[J].数学的实践与认识,2010,40(19). |
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| 作者姓名： | 刘冬丽 刘文德 |
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| 基金项目： | 国家自然科学基金，黑龙江省自然科学基金，黑龙江教育厅科技项目，黑龙江省博士后落户科研基金资助 |
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| 摘 要： | 首先证明了无限维K(m,n)型模李超代数的单性,给出了它的生成元集,进而通过导子在生成元上的作用,确定了它的Z-齐次超导子,最后确定了K(m,n)的齐次超导子代数.
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| 关 键 词： | 阶化 模李超代数 超导子代数 |
The Infinite-Dimensional Simple Modular Lie Superalgebra of K-Type and Its Superderivation Algebra |
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| LIU Dong-li,LIU Wen-de.The Infinite-Dimensional Simple Modular Lie Superalgebra of K-Type and Its Superderivation Algebra[J].Mathematics in Practice and Theory,2010,40(19). |
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| Authors: | LIU Dong-li LIU Wen-de |
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| Abstract: | The infinite-dimensional modular Lie superalgebra K is first proved to be simple. Then the generating set of K is given.Furthermore,all the Z-homogeneous superderivations of K are determined by means of invesigating,the superderivations' action on the generating elemens of K and as a result,the homogeneous superderivation algebra of K is determined. |
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| Keywords: | gradations modular Lie superalgebras superderivation algebras |
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