Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra
文献类型：期刊论文
| 作者 | Osborn, JM; Zhao, KM |
| 刊名 | COMMUNICATIONS IN ALGEBRA
 |
| 出版日期 | 2001 |
| 卷号 | 29期号:4页码:1677-1707 |
| ISSN号 | 0092-7872 |
| 英文摘要 | Let Z be the ring of integers. In this paper we classify Z x Z-graded Lie algebras A = circle plus (i,j is an element ofz) A(i,j) over a characteristic 0 field F with dim A(i,j) less than or equal to 1 for each i and j, satisfying the following three properties: (I) A(0) = circle plus (i is an element ofz) A(i,0) similar or equal to Vir, the centerless Virasoro algebra; (II) A(0,-1), A(0,0), A(0,1) span a Heisenberg algebra; (III) A is generated by the centerless Virasoro algebra and the Heisenberg algebra. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000170043000021 |
| 出版者 | MARCEL DEKKER INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16162]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Osborn, JM |
| 作者单位 | 1.Univ Wisconsin, Madison, WI 53706 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Osborn, JM,Zhao, KM. Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra[J]. COMMUNICATIONS IN ALGEBRA,2001,29(4):1677-1707. |
| APA | Osborn, JM,&Zhao, KM.(2001).Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra.COMMUNICATIONS IN ALGEBRA,29(4),1677-1707. |
| MLA | Osborn, JM,et al."Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra".COMMUNICATIONS IN ALGEBRA 29.4(2001):1677-1707. |
入库方式： OAI收割
来源：数学与系统科学研究院
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