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：

暂无

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.

引用

页码：563 / 603

页数：40

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