dorsal/arxiv
View SchemaQuantum Principal Bundles and Tannaka-Krein Duality Theory
| Authors | Mico Durdevic |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9507018 |
| URL | https://arxiv.org/abs/q-alg/9507018 |
Abstract
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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"abstract": "The structure of quantum principal bundles is studied, from the viewpoint of\nTannaka-Krein duality theory. It is shown that if the structure quantum group\nis compact, principal G-bundles over a quantum space M are in a natural\ncorrespondence with certain contravariant functors defined on the category of\nfinite-dimensional unitary representations of G, with the values in the\ncategory of finite projective bimodules over a *-algebra representing the base\nspace.",
"arxiv_id": "q-alg/9507018",
"authors": [
"Mico Durdevic"
],
"categories": [
"q-alg",
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"title": "Quantum Principal Bundles and Tannaka-Krein Duality Theory",
"url": "https://arxiv.org/abs/q-alg/9507018"
},
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