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Characterization of principal bundles: the noncommutative algebraic case (2402.16852v1)

Published 18 Jan 2024 in math.QA

Abstract: We review Hopf-Galois extensions, in particular faithfully flat ones, accepted to be the noncommutative algebraic dual of a principal bundle. We also make a short digression into how quantum groups relate to Hopf-Galois extensions. Several examples are given, in order to provide a satisfactory understanding of each topic.

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