Jordan-Schwinger Representations and Factorised Yang-Baxter Operators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Karakhanyan, D., Kirschner, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146339
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...