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Homological Integral of Hopf Algebras

D. -M. Lu·Q. -S. Wu·J. J. Zhang
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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 study noetherian regular Hopf algebras of Gelfand-Kirillov dimension one.

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BibTeXRIS

D. -M. Lu, Q. -S. Wu, J. J. Zhang. 2005-10-29. Homological Integral of Hopf Algebras. https://arxiv.org/abs/math/0510646

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