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The double Ringel-Hall algebra on a hereditary abelian finitary length category
Dou RuJing1; Liu QunHua2; Xiao Jie3
2011-02-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume54Issue:2Pages:381-397
AbstractIn 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.
KeywordRingel-Hall algebra generalized Kac-Moody Lie algebra coherent sheaf semi-stability
DOI10.1007/s11425-010-4143-z
Language英语
Funding ProjectNSF of China[10631010] ; NKBRPC[2006CB805905]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000287200600014
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13129
Collection中国科学院数学与系统科学研究院
Corresponding AuthorDou RuJing
Affiliation1.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
Recommended Citation
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.
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