Supports of weight modules over Witt algebras
文献类型：期刊论文
| 作者 | Mazorchuk, Volodymyr1; Zhao, Kaiming2,3 |
| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
 |
| 出版日期 | 2011 |
| 卷号 | 141页码:155-170 |
| ISSN号 | 0308-2105 |
| 英文摘要 | As the first step towards a classification of simple weight modules with finite dimensional weight spaces over Witt algebras W(n), we explicitly describe the supports of such modules. We also obtain some descriptions of the support of an arbitrary simple weight module over a Z(n)-graded Lie algebra g having a root space decomposition circle plus(n)(a is an element of Z) g(alpha) with respect to the abelian subalgebra go, with the property [g(alpha), g(beta)] = g(alpha+beta) for all alpha,beta is an element of Z(n), a not equal beta (this class contains the algebra W(n)). |
| 资助项目 | Wilfrid Laurier University ; Swedish Research Council ; NSERC ; NSF of China[10871192] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000287840400009 |
| 出版者 | ROYAL SOC EDINBURGH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11926]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Mazorchuk, Volodymyr |
| 作者单位 | 1.Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mazorchuk, Volodymyr,Zhao, Kaiming. Supports of weight modules over Witt algebras[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2011,141:155-170. |
| APA | Mazorchuk, Volodymyr,&Zhao, Kaiming.(2011).Supports of weight modules over Witt algebras.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,141,155-170. |
| MLA | Mazorchuk, Volodymyr,et al."Supports of weight modules over Witt algebras".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 141(2011):155-170. |
入库方式： OAI收割
来源：数学与系统科学研究院
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