| 非阶化Virasoro代数和Virasoro超代数及其中间序列模 |
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| 引用本文： | 朱琳,苏育才.非阶化Virasoro代数和Virasoro超代数及其中间序列模[J].数学研究及应用,2006,26(2):325-333. |
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| 作者姓名： | 朱琳 苏育才 |
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| 作者单位： | 1. 上海交通大学数学系,上海,200240
2. 中国科学技术大学数学系,安徽,合肥,230026 |
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| 摘 要： | 介绍非阶化Virasoro(超)代数的概念,给出非阶化Virasoro(超)代数的中间序列模,并对非阶化Virasoro代数的子代数(秩为1的非阶化Witt代数)的中间序列模进行分类．
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| 关 键 词： | 非阶化Virasoro代数 中间序列模 |
| 文章编号： | 1000-341X(2006)02-0325-09 |
| 收稿时间： | 02 20 2004 12:00AM |
| 修稿时间： | 2004年2月20日 |
Nongraded Virasoro and Super-Virasoro Algebras and Modules of Intermediate Series |
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| ZHU Lin and SU Yu-cai.Nongraded Virasoro and Super-Virasoro Algebras and Modules of Intermediate Series[J].Journal of Mathematical Research with Applications,2006,26(2):325-333. |
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| Authors: | ZHU Lin and SU Yu-cai |
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| Institution: | Dept. of Math., Shanghai Jiaotong University, Shanghai 200240, China;Dept. of Math., University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | A notion of the nongraded (super) Virasoro algebras is introduced, and the modules of the intermediate series over the nongraded Virasoro and super-Virasoro algebras are presented, and the modules of the intermediate series over a subalgebra of the non-graded Virasoro algebra (a rank 1 non-graded Witt algebra) are classified. |
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| Keywords: | non-graded Virasoro algebra module of the intermediate series |
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