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n-complete algebras and McKay quivers

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成果类型:
期刊论文
作者:
Zhang, Tongliang;Luo, Deren;Zheng, Lijing*
通讯作者:
Zheng, Lijing
作者机构:
[Luo, Deren; Zhang, Tongliang] Hunan Normal Univ, Coll Math & Comp Sci, Key Lab HPCSIP, Minist Educ China, Changsha, Hunan, Peoples R China.
[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Zheng, Lijing] U
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Covering spaces;McKay quiver;n-complete algebra;returning arrows
期刊:
Communications in Algebra
ISSN:
0092-7872
年:
2017
卷:
45
期:
11
页码:
5014-5024
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11271119]; Hunan Provincial Innovation Foundation for Postgraduate [CX2013B216, CX2014B189]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2016JJ6124, 2016JJ6049]
机构署名:
本校为通讯机构
院系归属:
数理学院
摘要:
Let Γn be the cone of an (n−1)-complete algebra over an algebraically closed field k. In this paper, we prove that if the bound quiver (Qn, ρn) of Γn is a truncation from the bound McKay quiver (QG, ρG) of a finite subgroup G of GL(n,k), the bound quiver (Qn+1, ρn+1) of Γn+1, the cone of Γn, is a truncation from the bound McKay quiver (Formula presented.) of (Formula presented.), where (Formula presen...

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