Quantum Principal Bundles as Hopf-Galois Extensions

Details Quantum Principal Bundles as Hopf-Galois Extensions Quantum Principal Bundles as Hopf-Galois Extensions

1995-07-20

arxiv.org/abs/q-alg/9507022v1

Mathematics

Quantum Algebra

7 pages, AMS-LaTeX

Scientific paper

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.

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