|
|||||
|
|
Homological integral of Hopf algebras |
|
| Authors: | D.-M. Lu Q.-S. Wu J. J. Zhang |
| Affiliation: | Department of Mathematics, Zhejiang University, Hangzhou 310027, People's Republic of China ; Institute of Mathematics, Fudan University, Shanghai, 200433, People's Republic of China ; Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195 |
| Abstract: | 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. |
| Keywords: | Hopf algebra homological integral Gorenstein property regularity Gelfand-Kirillov dimension integral order integral quotient PI degree |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载全文 | |