dorsal/arxiv
View SchemaOn Differential Structures on Quantum Principal Bundles
| Authors | Mico Durdevic |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9412004 |
| URL | https://arxiv.org/abs/q-alg/9412004 |
Abstract
A constructive approach to differential calculus on quantum principal bundles is presented. The calculus on the bundle is built in an intrinsic manner, starting from given graded (differential) *-algebras representing horizontal forms on the bundle and differential forms on the base manifold, together with a family of antiderivations acting on horizontal forms, playing the role of covariant derivatives of regular connections. In this conceptual framework, a natural differential calculus on the structure quantum group is described.
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"abstract": "A constructive approach to differential calculus on quantum principal bundles\nis presented. The calculus on the bundle is built in an intrinsic manner,\nstarting from given graded (differential) *-algebras representing horizontal\nforms on the bundle and differential forms on the base manifold, together with\na family of antiderivations acting on horizontal forms, playing the role of\ncovariant derivatives of regular connections. In this conceptual framework, a\nnatural differential calculus on the structure quantum group is described.",
"arxiv_id": "q-alg/9412004",
"authors": [
"Mico Durdevic"
],
"categories": [
"q-alg",
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"title": "On Differential Structures on Quantum Principal Bundles",
"url": "https://arxiv.org/abs/q-alg/9412004"
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