McKay quivers and absolute n-complete algebras  

作　　者：GUO JinYun 

机构地区：[1]College of Mathematics and Computer Science,Key Laboratory of High Performance Computing and Stochastic Information Processing,Ministry of Education,Hunan Normal University

出　　处：《Science China Mathematics》2013年第8期1607-1618,共12页中国科学：数学（英文版）

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

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 group.Using this and our results on "returning arrows" in McKay quiver,we give an algorithm to construct the McKay quiver of a finite abelian group.Using 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.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 group. Using this and our results on ＂returning arrows＂ in McKay quiver, we give an algorithm to construct the McKay quiver of a finite abelian group. Using 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.

关 键 词：McKay quiver Nakayama translation absolute n-complete algebra 

分 类 号：O153[理学—数学]