Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity  

作　　者：Xiaoshan QIN Yanhua WANG James ZHANG 

机构地区：[1]China Academy of Electronics and Information Technology,Beijing 100041,China [2]School of Mathematical Sciences,Shanghai Center for Mathematical Sciences,Pudan University,Shanghai 200433,China [3]School of Mathematics,Shanghai Key Laboratory of Financial Information Technology,Shanghai University of Finance and Economics,Shanghai 200433,China [4]Department of Mathematics,University of Washington,Seattle,WA 98195,USA

出　　处：《Frontiers of Mathematics in China》2019年第5期923-940,共18页中国高等学校学术文摘·数学（英文）

基　　金：The authors thank the referees for the careful reading and very useful suggestions and thank Ken Brown,Daniel Rogalski,Robert Won,and Quanshui Wu for many useful conversations and valuable comments on the subject.Y.-H.Wang and X.-S.Qin thank the Department of Mathematics,University of Washington for its very supportive hospitality during their visits;X.-S.Qin was partially supported by the Foundation of China Scholarship Council(Grant No.[2016]3100);Y.-H.Wang was partially supported by the National Natural Science Foundation of China(Grant Nos.11971289,11871071);the Foundation of Shanghai Science and Technology Committee(Grant No.15511107300);the Foundation of China Scholarship Council(Grant No.[2016]3009);J.J.Zhang was partially supported by the US National Science Foundation(Grant No.DMS-1700825).

摘　　要：We study properties of graded maximal Cohen-Macaulay modules over an N-graded locally finite,Auslander Gorenstein,and Cohen-Macaulay algebra of dimension two.As a consequence,we extend a part of the McKay correspondence in dimension two to a more general setting.

关 键 词：NONCOMMUTATIVE quasi-resolution Artin-Schelter regular algebra MAXIMAL COHEN-MACAULAY module pretzeled QUIVERS 

分 类 号：O15[理学—数学]