Weight modules over exp-polynomial Lie algebras
文献类型：期刊论文
| 作者 | Billig, Y; Zhao, KM |
| 刊名 | JOURNAL OF PURE AND APPLIED ALGEBRA
 |
| 出版日期 | 2004-07-01 |
| 卷号 | 191期号:1-2页码:23-42 |
| ISSN号 | 0022-4049 |
| DOI | 10.1016/j.jpaa.2003.12.004 |
| 英文摘要 | In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial "highest weight" over an exp-polynomial Lie algebra has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occur over the classical Virasoro algebra. (C) 2004 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221007300002 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19585]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Billig, Y |
| 作者单位 | 1.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada |
| 推荐引用方式 GB/T 7714 | Billig, Y,Zhao, KM. Weight modules over exp-polynomial Lie algebras[J]. JOURNAL OF PURE AND APPLIED ALGEBRA,2004,191(1-2):23-42. |
| APA | Billig, Y,&Zhao, KM.(2004).Weight modules over exp-polynomial Lie algebras.JOURNAL OF PURE AND APPLIED ALGEBRA,191(1-2),23-42. |
| MLA | Billig, Y,et al."Weight modules over exp-polynomial Lie algebras".JOURNAL OF PURE AND APPLIED ALGEBRA 191.1-2(2004):23-42. |
入库方式： OAI收割
来源：数学与系统科学研究院
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