McKay quivers and absolute n-complete algebras

作     者：GUO JinYun 

作者机构：College of Mathematics and Computer ScienceKey Laboratory of High Performance Computing and Stochastic Information ProcessingMinistry of EducationHunan Normal University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2013年第56卷第8期

页      面：1607-1618页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No.10971172) 

主　　题：McKay quiver Nakayama translation absolute n-complete algebra 

摘      要：In this paper,we show that the McKay quiver of a finite subgroup of a general linear group is a regular covering of the McKay quiver of its intersection with the special linear *** this and our results on returning arrows in McKay quiver,we give an algorithm to construct the McKay quiver of a finite abelian *** this construction,we show how the cone and cylinder of an(n-1)-Auslander absolute n-complete algebra are truncated from the McKay quivers of abelian groups.