Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2)
文献类型：期刊论文
| 作者 | Su, YC; Zhang, JF; Zhao, K |
| 刊名 | MATHEMATISCHE NACHRICHTEN
 |
| 出版日期 | 2002 |
| 卷号 | 246页码:188-201 |
| 关键词 | Z x Z-graded Lie algebras Virasoro algebra Block algebras |
| ISSN号 | 0025-584X |
| 英文摘要 | The present paper is another step toward the classification of Z x Z-graded Lie algebras: we classify Z x Z-graded Lie algebras A = circle plus(i,jis an element ofZ) A(ij) over a field F of characteristic 0 with dim A(i,j) less than or equal to 1 for i, j is an element of Z, satisfying: (1) A(0) = circle plus(iis an element ofZ) A(i,0) similar or equal to Vir, the centerless Virasoro algebra, (2) A(0,-1), A(0,0), A(0,1) span the 3-dimensional simple Lie algebra sl(2), (3) A is generated by the centerless Virasoro algebra and sl(2). These algebras include some rank 2 centerless Virasorc, algebras, and some rank 2 Block algebras and their extensions. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000180528500012 |
| 出版者 | WILEY-V C H VERLAG GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17121]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Su, YC |
| 作者单位 | 1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Su, YC,Zhang, JF,Zhao, K. Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2)[J]. MATHEMATISCHE NACHRICHTEN,2002,246:188-201. |
| APA | Su, YC,Zhang, JF,&Zhao, K.(2002).Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2).MATHEMATISCHE NACHRICHTEN,246,188-201. |
| MLA | Su, YC,et al."Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2)".MATHEMATISCHE NACHRICHTEN 246(2002):188-201. |
入库方式： OAI收割
来源：数学与系统科学研究院
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