Classification of irreducible weight modules over higher rank Virasoro algebras
文献类型：期刊论文
| 作者 | Lu, Rencai; Zhao, Kaiming |
| 刊名 | ADVANCES IN MATHEMATICS
 |
| 出版日期 | 2006-11-10 |
| 卷号 | 206期号:2页码:630-656 |
| 关键词 | Virasoro algebra generalized Virasoro algebra weight module |
| ISSN号 | 0001-8708 |
| DOI | 10.1016/j.aim.2005.10.005 |
| 英文摘要 | Let G be a rank n additive subgroup of C and Vir[G] the corresponding Virasoro algebra of rank n. In the present paper, irreducible weight modules with finite dimensional weight spaces over Vir[G] are completely determined. There are two different classes of them. One class consists of simple modules of intermediate series whose weight spaces are all I-dimensional. The other is constructed by using intermediate series modules over a Virasoro subalgebra of rank n - 1. The classification of such modules over the classical Virasoro algebra was obtained by O. Mathieu in 1992 using a completely different approach. (C) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241389300012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3123]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Kaiming |
| 作者单位 | 1.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 2.Peking Univ, Dept Math, Beijing 100871, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, Rencai,Zhao, Kaiming. Classification of irreducible weight modules over higher rank Virasoro algebras[J]. ADVANCES IN MATHEMATICS,2006,206(2):630-656. |
| APA | Lu, Rencai,&Zhao, Kaiming.(2006).Classification of irreducible weight modules over higher rank Virasoro algebras.ADVANCES IN MATHEMATICS,206(2),630-656. |
| MLA | Lu, Rencai,et al."Classification of irreducible weight modules over higher rank Virasoro algebras".ADVANCES IN MATHEMATICS 206.2(2006):630-656. |
入库方式： OAI收割
来源：数学与系统科学研究院
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