Verma modules over Virasoro-like algebras
文献类型：期刊论文
| 作者 | Wang, XD; Zhao, KM |
| 刊名 | JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2006-04-01 |
| 卷号 | 80页码:179-191 |
| 关键词 | Virasoro-like algebra Verma module |
| ISSN号 | 1446-7887 |
| 英文摘要 | Let K be a field of characteristic 0, G the direct sum of two copies of the additive group of integers. For a total order < on G, which is compatible with the addition, and for any (c) over dot(1), (c) over dot(2) is an element of K, we define G-graded highest weight modules M((c) over dot(1), (c) over dot(2), <) over the Virasoro-like algebra (L) over tilde, indexed by G. It is natural to call them Verma modules. In the present paper, the irreducibility of M((c) over dot(1), (c) over dot(2), <) is completely determined and the structure of reducible module M((c) over dot(1), (c) over dot(2), <) is also described. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000237907600004 |
| 出版者 | AUSTRALIAN MATHEMATICS PUBL ASSOC INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3557]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, XD |
| 作者单位 | 1.Qingdao Univ, Dept Math, Qingdao 266071, Peoples R China 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 | Wang, XD,Zhao, KM. Verma modules over Virasoro-like algebras[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY,2006,80:179-191. |
| APA | Wang, XD,&Zhao, KM.(2006).Verma modules over Virasoro-like algebras.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY,80,179-191. |
| MLA | Wang, XD,et al."Verma modules over Virasoro-like algebras".JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 80(2006):179-191. |
入库方式： OAI收割
来源：数学与系统科学研究院
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