BGP reflection functors in root categories期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

BGP reflection functors in root categories

Authors:	Jie?Xiao author-information" > author-information__contact u-icon-before" > mailto:jxiao@math.tsinghua.edu.cn" title=" jxiao@math.tsinghua.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Guanglian?Zhang,Bin?Zhu

Affiliation:	1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China 2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;Department of Mathematics, Yancheng Teachers College, Yancheng 224002, China

Abstract:	We define the BGP-reflection functors in the derived categories and the root categories. By Ringel's Hall algebra approach, the BGP-reflection functor is applicable to obtain the classical Weyl group action on the Lie algebra.

Keywords:	m-cycle complexes derived categories BGP-reflections Kac-Moody algebras
本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！