| 一类无限维李代数的中间序列模的分类 |
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| 引用本文： | 法焕霞.一类无限维李代数的中间序列模的分类[J].常熟理工学院学报,2008,22(2):5-9. |
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| 作者姓名： | 法焕霞 |
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| 作者单位： | 常熟理工学院,数学系,江苏,常熟,215500 |
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| 摘 要： | 讨论了一类型与Virasoro李代数相关联的无限维李代数，利用已有的Viraeoro李代数的中间序列模的结果和研究方法，完全确定了此类无限维李代数的中间序列模的分类．
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| 关 键 词： | VIRASORO代数 中间序列模 Harish-Chandra模 |
| 文章编号： | 1008-2794(2008)02-0005-05 |
| 修稿时间： | 2007年10月15 |
Classification of Modules of the Intermediate Series over a Class of Infinite-dimensional Lie Algebra |
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| FA Huan-xia.Classification of Modules of the Intermediate Series over a Class of Infinite-dimensional Lie Algebra[J].Journal of Changshu Institute of Technology,2008,22(2):5-9. |
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| Authors: | FA Huan-xia |
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| Institution: | FA Huan-xia ( Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China) |
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| Abstract: | In this paper we investigate a class of infinite-dime nsional Lie algebra related to the Virasoro Lie algebra.By using the results and technigues on the modules of the intermecliate series over the Virasoro Lie algebra,we give the complete classification of the same modules over the Lie algebras discussed in this paper. |
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| Keywords: | Virasoro algebra modules of the intermediate series Harish-Chandra modules |
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