A characterization of certain loop Lie algebras
文献类型：期刊论文
| 作者 | Osborn, JM; Zhao, KM |
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 1999-11-01 |
| 卷号 | 221期号:1页码:345-359 |
| 关键词 | loop algebra Z x Z-graded Lie algebra |
| ISSN号 | 0021-8693 |
| 英文摘要 | In this paper, we study Z x Z-graded Lie algebras A = + i(j epsilon Z)A(i,j) with dim A(i,j) less than or equal to 1 satisfying (I) dim A(+/-1,0) = dim A(0+/-1) = 1, and A is generated by A(+/-1,0), A(0,+/-1); (II) + (i epsilon Z) A(0,j) similar or equal to sl(2); (III) [A(-1,0), A(1,0)] = 0, and adA(+/-1,0) act faithfully on + (j epsilon z) A(j,1). We show that A is necessarily isomorphic to one of the two smallest loop algebras F[t, t(-1)] x sl(2) and <(sl)over cap>((2))(3) with appropriate grading. (C) 1999 academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000083682100016 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14183]  |
| 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, Dept Math, 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. A characterization of certain loop Lie algebras[J]. JOURNAL OF ALGEBRA,1999,221(1):345-359. |
| APA | Osborn, JM,&Zhao, KM.(1999).A characterization of certain loop Lie algebras.JOURNAL OF ALGEBRA,221(1),345-359. |
| MLA | Osborn, JM,et al."A characterization of certain loop Lie algebras".JOURNAL OF ALGEBRA 221.1(1999):345-359. |
入库方式： OAI收割
来源：数学与系统科学研究院
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