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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-04-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.029 |
| _version_ | 1819211685916835840 |
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| author | Roland Kirschner David Karakhanyan |
| author_facet | Roland Kirschner David Karakhanyan |
| author_sort | Roland Kirschner |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-23T06:31:00Z |
| format | Article |
| id | doaj.art-34718944c497496f901d56311af96859 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-23T06:31:00Z |
| publishDate | 2010-04-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-34718944c497496f901d56311af968592022-12-21T17:56:56ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-04-016029Jordan-Schwinger Representations and Factorised Yang-Baxter OperatorsRoland KirschnerDavid KarakhanyanThe 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.http://dx.doi.org/10.3842/SIGMA.2010.029Yang-Baxter equationfactorisation method |
| spellingShingle | Roland Kirschner David Karakhanyan Jordan-Schwinger Representations and Factorised Yang-Baxter Operators Symmetry, Integrability and Geometry: Methods and Applications Yang-Baxter equation factorisation method |
| 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 |
| topic | Yang-Baxter equation factorisation method |
| url | http://dx.doi.org/10.3842/SIGMA.2010.029 |
| work_keys_str_mv | AT rolandkirschner jordanschwingerrepresentationsandfactorisedyangbaxteroperators AT davidkarakhanyan jordanschwingerrepresentationsandfactorisedyangbaxteroperators |