Quantum Principal Bundles and Tannaka-Krein Duality Theory

Details Quantum Principal Bundles and Tannaka-Krein Duality Theory Quantum Principal Bundles and Tannaka-Krein Duality Theory

1995-07-20

arxiv.org/abs/q-alg/9507018v1

Mathematics

Quantum Algebra

12 pages, AMS-LaTeX, Workshop on Algebra, Morelia, Mexico, Jan 95

Scientific paper

The structure of quantum principal bundles is studied, from the viewpoint of Tannaka-Krein duality theory. It is shown that if the structure quantum group is compact, principal G-bundles over a quantum space M are in a natural correspondence with certain contravariant functors defined on the category of finite-dimensional unitary representations of G, with the values in the category of finite projective bimodules over a *-algebra representing the base space.

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