Homological Integral of Hopf Algebras

Mathematics – Quantum Algebra

Scientific paper

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30 pages

Scientific paper

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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