Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral triples.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148777 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Derivations and Spectral Triples on Quantum Domains I: Quantum Disk / S. Klimek, M. McBride, S. Rathnayake, K. Sakai, H. Wang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. |
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Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. 2019-02-18T18:50:50Z 2019-02-18T18:50:50Z 2017 Derivations and Spectral Triples on Quantum Domains I: Quantum Disk / S. Klimek, M. McBride, S. Rathnayake, K. Sakai, H. Wang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L87; 46L89; 58B34; 58J42 DOI:10.3842/SIGMA.2017.075 https://nasplib.isofts.kiev.ua/handle/123456789/148777 We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral triples. We would like to thank the anonymous referees for relevant remarks to improve the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Derivations and Spectral Triples on Quantum Domains I: Quantum Disk Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk |
| spellingShingle |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| title_short |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk |
| title_full |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk |
| title_fullStr |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk |
| title_full_unstemmed |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk |
| title_sort |
derivations and spectral triples on quantum domains i: quantum disk |
| author |
Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| author_facet |
Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral triples.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148777 |
| citation_txt |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk / S. Klimek, M. McBride, S. Rathnayake, K. Sakai, H. Wang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. |
| work_keys_str_mv |
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| first_indexed |
2025-12-07T20:45:25Z |
| last_indexed |
2025-12-07T20:45:25Z |
| _version_ |
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