The double Ringel-Hall algebra on a hereditary abelian finitary length category

doi:10.1007/s11425-010-4143-z

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	The double Ringel-Hall algebra on a hereditary abelian finitary length category
	Dou RuJing 1; Liu QunHua 2; Xiao Jie 3
	2011-02-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	54 期号:2 页码:381-397
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.
关键词	Ringel-Hall algebra generalized Kac-Moody Lie algebra coherent sheaf semi-stability
DOI	10.1007/s11425-010-4143-z
语种	英语
资助项目	NSF of China[10631010] ; NKBRPC[2006CB805905]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000287200600014
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13129
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.