Develops covariant differential calculi for Hopf algebroids, proves Takeuchi-Schneider type equivalences, and classifies them on quantum homogeneous spaces via augmentation ideal substructures.
Montgomery, Hopf algebras and their actions on rings, CBMS Regional Conference Series in Math 82, AMS
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Takeuchi-Schneider equivalence and calculi for homogeneous spaces of Hopf algebroids
Develops covariant differential calculi for Hopf algebroids, proves Takeuchi-Schneider type equivalences, and classifies them on quantum homogeneous spaces via augmentation ideal substructures.