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Homological integral of Hopf algebras |
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| Authors: | D-M Lu Q-S Wu J J Zhang |
| Institution: | 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 |
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