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Quantum Principal Bundles as Hopf-Galois Extensions
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It is shown that every quantum principal bundle with a compact structure group is a Hopf-Galois extension. This property naturally extends to the level of general differential structures, so that every differential calculus over a quantum principal bundle with a compact structure group is a graded-differential variant of the Hopf-Galois extension.
Forward citations
Cited by 2 Pith papers
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Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy
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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Gauge transformations on quantum principal bundles
Gauge transformations on quantum principal bundles are extended to differential forms, giving an action on connections and curvature, with the noncommutative 2-torus as the main new example.
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