Homological Integral of Hopf Algebras

2005/10/29 by Lu, D. -M., Wu, Q. -S., Zhang, J. J. · 1 citation
#16A62 #16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.math/0510646

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.

Cited by

• Chevalley property and discriminant ideals of Cayley-Hamilton Hopf Algebras

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