Jordan-Schwinger Representations and Factorised Yang-Baxter Operators
The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the restricted class of Jordan-Schwinger representations. The latter are formulated exp...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146339 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators / D. Karakhanyan, R. Kirschner // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 27 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862619663191506944 |
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| author | Karakhanyan, D. Kirschner, R. |
| author_facet | Karakhanyan, D. Kirschner, R. |
| citation_txt | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators / D. Karakhanyan, R. Kirschner // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 27 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the restricted class of Jordan-Schwinger representations. The latter are formulated explicitly. On this basis the parameter exchange and intertwining operators are derived.
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| first_indexed | 2025-12-07T13:18:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146339 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:18:50Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Karakhanyan, D. Kirschner, R. 2019-02-09T08:39:33Z 2019-02-09T08:39:33Z 2010 Jordan-Schwinger Representations and Factorised Yang-Baxter Operators / D. Karakhanyan, R. Kirschner // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 27 назв. — англ. 1815-0659 DOI:10.3842/SIGMA.2010.029 2010 Mathematics Subject Classification: 81R50; 82B23 https://nasplib.isofts.kiev.ua/handle/123456789/146339 The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the restricted class of Jordan-Schwinger representations. The latter are formulated explicitly. On this basis the parameter exchange and intertwining operators are derived. This paper is a contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 18–20, 2009, Prague, Czech Republic). The full collection is available at http://www.emis.de/journals/SIGMA/ISQS2009.html.
 We are grateful to S.E. Derkachov and P. Valinevich for joint work and useful discussions. The work has been supported in part by Deutsche Forschungsgemeinschaft (KI 623/6-1). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Jordan-Schwinger Representations and Factorised Yang-Baxter Operators Article published earlier |
| spellingShingle | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators Karakhanyan, D. Kirschner, R. |
| title | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators |
| title_full | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators |
| title_fullStr | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators |
| title_full_unstemmed | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators |
| title_short | Jordan-Schwinger Representations and Factorised Yang-Baxter Operators |
| title_sort | jordan-schwinger representations and factorised yang-baxter operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146339 |
| work_keys_str_mv | AT karakhanyand jordanschwingerrepresentationsandfactorisedyangbaxteroperators AT kirschnerr jordanschwingerrepresentationsandfactorisedyangbaxteroperators |