The double Ringel-Hall algebra on a hereditary abelian finitary length category
文献类型：期刊论文
| 作者 | Dou RuJing1; Liu QunHua2; Xiao Jie3 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2011-02-01 |
| 卷号 | 54期号:2页码:381-397 |
| 关键词 | Ringel-Hall algebra generalized Kac-Moody Lie algebra coherent sheaf semi-stability |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-4143-z |
| 英文摘要 | In this paper, we study the category a"< ((rho)) of semi-stable coherent sheaves of a fixed slope rho over a weighted projective curve. This category has nice properties: it is a hereditary abelian finitary length category. We will define the Ringel-Hall algebra of a"< ((rho)) and relate it to generalized Kac-Moody Lie algebras. Finally we obtain the Kac type theorem to describe the indecomposable objects in this category, i.e. the indecomposable semi-stable sheaves. |
| 资助项目 | NSF of China[10631010] ; NKBRPC[2006CB805905] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000287200600014 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13128]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dou RuJing |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Stuttgart, Inst Algebra & Number Theory, D-70569 Stuttgart, Germany 3.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dou RuJing,Liu QunHua,Xiao Jie. The double Ringel-Hall algebra on a hereditary abelian finitary length category[J]. SCIENCE CHINA-MATHEMATICS,2011,54(2):381-397. |
| APA | Dou RuJing,Liu QunHua,&Xiao Jie.(2011).The double Ringel-Hall algebra on a hereditary abelian finitary length category.SCIENCE CHINA-MATHEMATICS,54(2),381-397. |
| MLA | Dou RuJing,et al."The double Ringel-Hall algebra on a hereditary abelian finitary length category".SCIENCE CHINA-MATHEMATICS 54.2(2011):381-397. |
入库方式： OAI收割
来源：数学与系统科学研究院
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