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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| ISSN: | 1815-0659 |
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148777 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862746288492118016 |
|---|---|
| author | Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| author_facet | Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T20:45:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148777 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:45:25Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Derivations and Spectral Triples on Quantum Domains I: Quantum Disk Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| title | 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_short | Derivations and Spectral Triples on Quantum Domains I: Quantum Disk |
| title_sort | derivations and spectral triples on quantum domains i: quantum disk |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148777 |
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