Homological integral of Hopf algebras

Lu, D.-M.; Wu, Q.-S.; Zhang, J.

doi:10.1090/S0002-9947-07-04159-1

Homological integral of Hopf algebras
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by D.-M. Lu, Q.-S. Wu and J. J. Zhang PDF

Trans. Amer. Math. Soc. 359 (2007), 4945-4975 Request permission

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.

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