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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2022 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211530 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | An Atiyah Sequence for Noncommutative Principal Bundles. Kay Schwieger and Stefan Wagner. SIGMA 18 (2022), 015, 22 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862646519110303744 |
|---|---|
| author | Schwieger, Kay Wagner, Stefan |
| author_facet | Schwieger, Kay Wagner, Stefan |
| citation_txt | An Atiyah Sequence for Noncommutative Principal Bundles. Kay Schwieger and Stefan Wagner. SIGMA 18 (2022), 015, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-15T11:14:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211530 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T11:14:57Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Schwieger, Kay Wagner, Stefan 2026-01-05T12:26:56Z 2022 An Atiyah Sequence for Noncommutative Principal Bundles. Kay Schwieger and Stefan Wagner. SIGMA 18 (2022), 015, 22 pages 1815-0659 2020 Mathematics Subject Classification: 46L87; 46L85; 55R10 arXiv:2107.04653 https://nasplib.isofts.kiev.ua/handle/123456789/211530 https://doi.org/10.3842/SIGMA.2022.015 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. We gratefully acknowledge the Centre International de Rencontres Mathématiques, REB 2177, as well as Blekinge Tekniska Högskola for supporting this research. The first-name author expresses his gratitude to iteratec GmbH. Last but not least, we wish to thank the anonymous referees for providing fruitful criticism that helped to improve the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications An Atiyah Sequence for Noncommutative Principal Bundles Article published earlier |
| spellingShingle | An Atiyah Sequence for Noncommutative Principal Bundles Schwieger, Kay Wagner, Stefan |
| title | An Atiyah Sequence for Noncommutative Principal Bundles |
| title_full | An Atiyah Sequence for Noncommutative Principal Bundles |
| title_fullStr | An Atiyah Sequence for Noncommutative Principal Bundles |
| title_full_unstemmed | An Atiyah Sequence for Noncommutative Principal Bundles |
| title_short | An Atiyah Sequence for Noncommutative Principal Bundles |
| title_sort | atiyah sequence for noncommutative principal bundles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211530 |
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