期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

The Double Ringel-Hall Algebras of Valued Quivers 被引量：1

The Double Ringel-Hall Algebras of Valued Quivers
原文传递
导出
摘要 This paper is devoted to the study of the structure of the double Ringel-Hall algebra D（A） for an infinite dimensional hereditary algebra A, which is given by a valued quiver F over a finite field, and also to the study of the relations of D（A）-modules with representations of valued quiver Г.
作者 Yanxin WANG Jie XIAO
机构地区 Department of Mathematical Sciences College of Mathematical Science
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2006年第6期701-722,共22页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.10471071) the 973 Project of the Ministry of Science and Technology of China.
关键词 Ringel-Hall algebras Generalized Kac-Moody algebras Drinfeld double Ringel-Hall代数 广义Kac-Moody代数 Drinfeld双精度 近世代数
分类号 O153 [理学—基础数学]
  • 相关文献

参考文献1

二级参考文献10

  • 1Abe,E.,Hopf algebras [M],Cambridge Tracts in Math.,74(1997).
  • 2Green,J.A.,Hall algebras,hereditary Aagebras and quantum groups [J],Invent.Math.,120(1995),361-377.
  • 3Lusztig,G.,Introduction to quantum groups [M],Progr.Math.,110(1993).
  • 4Gabber & Kac,V.G.,On defining relations of certain infinite-dimensional Lie algebras [J],Bull.Amer.Math.Soc.(N.S.),5:2(1981),185-189.
  • 5Joseph,A.,Quantum groups and their primitive ideals [J],Ergeb.Math.Grenzgeb,3(1995),29.
  • 6Jantzen,J.C.,Lectures on quantum groups [M],Amer.Math.Soc,GSM,Vol.6,1995.
  • 7Kac,V.G.,Infinite dimensional Lie algebras [M],Third edition,Cambridge Univ.,Press,1990.
  • 8Ringel,C.M.,Hall algebras and quantum groups [J],Invent.Math.,101(1990),583-592.
  • 9Xiao Jie,Drinfeld double and ringel-Green theory of Hall algebras [J],J.Algebra,190(1997),100-144.
  • 10Xiao Jie & Yang Shilin,BGF-refiection functors and Lusztig's symmetries:A Ringel-Hall algebra approach to quantum groups [J],J.Algebra,241(2001),204-246.

引证文献1

Chinese Annals of Mathematics,Series B
2006年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部