Triangulated categories and Kac-Moody algebras

被引：1
|
作者：
Liangang Peng
Jie Xiao
机构：
[1] Department of Mathematics,
[2] Sichuan University,undefined
[3] 610064 Chengdu,undefined
[4] PR China¶(e-mail: penglg@mail.sc.cninfo.net),undefined
[5] Department of Mathematics,undefined
[6] Tsinghua University,undefined
[7] 100084 Beijing,undefined
[8] PR China¶(e-mail: jxiao@math.tsinghua.edu.cn),undefined
来源：
Inventiones mathematicae | 2000年 / 140卷
关键词：
Mathematics Subject Classification (1991): 16G20, 17B67; Secondary 16G10, 17B37;
D O I：
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中图分类号：
学科分类号：
摘要：
By using the Ringel-Hall algebra approach, we find a Lie algebra arising in each triangulated category with T2=1, where T is the translation functor. In particular, the generic form of the Lie algebras determined by the root categories, the 2-period orbit categories of the derived categories of finite dimensional hereditary associative algebras, gives a realization of all symmetrizable Kac-Moody Lie algebras.
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页码：563 / 603
页数：40
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