An Atiyah Sequence for Noncommutative Principal Bundles
We present a derivation-based Atiyah sequence for noncommutative principal bundles. Along the way, we treat the problem of deciding when a given *-automorphism on the quantum base space lifts to a *-automorphism on the quantum total space that commutes with the underlying structure group.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211530 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | An Atiyah Sequence for Noncommutative Principal Bundles. Kay Schwieger and Stefan Wagner. SIGMA 18 (2022), 015, 22 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We present a derivation-based Atiyah sequence for noncommutative principal bundles. Along the way, we treat the problem of deciding when a given *-automorphism on the quantum base space lifts to a *-automorphism on the quantum total space that commutes with the underlying structure group.
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| ISSN: | 1815-0659 |