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Jordan-Schwinger Representations and Factorised Yang-Baxter Operators
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Jordan-Schwinger Representations and Factorised Yang-Baxter Operators
Інший ID:
DOI:10.3842/SIGMA.2010.029
2010 Mathematics Subject Classification: 81R50; 82B23
2010 Mathematics Subject Classification: 81R50; 82B23
Посилання:
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.
Підтримка:
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).
Дата:
2010
Переглядів:
726
Завантажень:
253
Анотація:
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.
