Classification of simple weight Virasoro modules with a finite-dimensional weight space
文献类型：期刊论文
| 作者 | Mazorchuk, Volodymyr; Zhao, Kaiming |
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 2007 |
| 卷号 | 307期号:1页码:209-214 |
| 关键词 | Virasoro algebra weight module simple module support |
| ISSN号 | 0021-8693 |
| DOI | 10.1016/j.jalgebra.2006.05.007 |
| 英文摘要 | We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all non-trivial weight spaces of such module are infinite-dimensional. As a corollary we obtain that every simple weight module over the Virasoro algebra, having a non-trivial finite-dimensional weight space, is a Harish-Chandra module (and hence is either a simple highest or lowest weight module or a simple module from the intermediate series). This implies positive answers to two conjectures about simple pointed and simple mixed modules over the Virasoro algebra. (C) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000246418300011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4946]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Mazorchuk, Volodymyr |
| 作者单位 | 1.Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mazorchuk, Volodymyr,Zhao, Kaiming. Classification of simple weight Virasoro modules with a finite-dimensional weight space[J]. JOURNAL OF ALGEBRA,2007,307(1):209-214. |
| APA | Mazorchuk, Volodymyr,&Zhao, Kaiming.(2007).Classification of simple weight Virasoro modules with a finite-dimensional weight space.JOURNAL OF ALGEBRA,307(1),209-214. |
| MLA | Mazorchuk, Volodymyr,et al."Classification of simple weight Virasoro modules with a finite-dimensional weight space".JOURNAL OF ALGEBRA 307.1(2007):209-214. |
入库方式： OAI收割
来源：数学与系统科学研究院
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