Homological integral of HOPF algebras

被引：43
作者：
Lu, D.-M. [1 ]
Wu, Q.-S.
Zhang, J. J.
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[3] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 10期
关键词：
hopf algebra; homological integral; gorenstein property; regularity; gelfand-kirillov dimension; integral order; integral quotient; PI degree;
D O I：
10.1090/S0002-9947-07-04159-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The left and right homological integrals are introduced for a large class of infinite dimensional Hopf algebras. Using the homological integrals we prove a version of Maschke's theorem for infinite dimensional Hopf algebras. The generalization of Maschke's theorem and homological integrals are the keys to studying noetherian regular Hopf algebras of Gelfand-Kirillov dimension one.
引用
收藏
页码：4945 / 4975
页数：31
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