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Homological Integral of Hopf Algebras

Research paper by D. -M. Lu, Q. -S. Wu, J. J. Zhang

Indexed on: 29 Oct '05Published on: 29 Oct '05Published in: Mathematics - Quantum Algebra



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.