Homological properties of Podle′s quantum spheres  

作　　者：LIU LiYu SHEN YunYi WU QuanShui 

机构地区：[1]School of Mathematical Sciences,Fudan University

出　　处：《Science China Mathematics》2014年第1期69-80,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 10731070 and 11171067);Science and Technology Committee,Shanghai Municipality (Grant No. 11XD1400500);a training program for innovative talents of key disciplines,Fudan University

摘　　要：The standard Podle′s quantum sphere is Artin-Schelter regular as showed by Kra¨hmer(2012).The non-standard Podle′s quantum spheres are proved to be Auslander-regular,Cohen-Macaulay and Artin-Schelter regular in this paper.The standard Podle′s quantum sphere is Artin-Schelter regular as showed by Kra¨hmer（2012）.The non-standard Podle′s quantum spheres are proved to be Auslander-regular,Cohen-Macaulay and Artin-Schelter regular in this paper.

关 键 词：Podle′s QUANTUM sphere Hopf algebra AS-regular Auslander-regular Cohen-Macaulay 

分 类 号：O152.5[理学—数学]