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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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| Language: | English |
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Інститут математики НАН України
2017
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148777 |
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irk-123456789-1487772019-02-19T01:24:50Z Derivations and Spectral Triples on Quantum Domains I: Quantum Disk Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. 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. 2017 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148777 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| spellingShingle |
Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. Derivations and Spectral Triples on Quantum Domains I: Quantum Disk Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Klimek, S. McBride, M. Rathnayake, S. Sakai, K. Wang, H. |
| author_sort |
Klimek, S. |
| title |
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT klimeks derivationsandspectraltriplesonquantumdomainsiquantumdisk AT mcbridem derivationsandspectraltriplesonquantumdomainsiquantumdisk AT rathnayakes derivationsandspectraltriplesonquantumdomainsiquantumdisk AT sakaik derivationsandspectraltriplesonquantumdomainsiquantumdisk AT wangh derivationsandspectraltriplesonquantumdomainsiquantumdisk |
| first_indexed |
2023-05-20T17:31:16Z |
| last_indexed |
2023-05-20T17:31:16Z |
| _version_ |
1796153486155448320 |