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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Збережено в:
Бібліографічні деталі
Дата:2010
Автори: Karakhanyan, D., Kirschner, R.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2010
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146339
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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Резюме: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.