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Characterization of principal bundles: the noncommutative algebraic case

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arxiv 2402.16852 v1 pith:UAAEM33R submitted 2024-01-18 math.QA

William J. Ugalde This is my paper · ORCID
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keywords algebraicextensionshopf-galoisnoncommutativeprincipalacceptedbundlebundles
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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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Cited by 1 Pith paper

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  1. Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy

    hep-th 2025-06 conditional novelty 7.0 of 10

    The paper conjectures that non-invertible Ising and tricritical Ising symmetries organize closed string states and D-brane categories into categorical bundles over moduli spaces of exceptional holonomy compactifications.

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