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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 029, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.029 (Mi sigma486) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Jordan–Schwinger Representations and Factorised Yang–Baxter Operators

David Karakhanyana, Roland Kirschnerb

a Yerevan Physics Institute, Br. Alikhanian Str. 2, 375036 Yerevan, Armenia
b Institut für Theoretische Physik, Universität Leipzig, PF 100 920, D-04009 Leipzig, Germany
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DOI: https://doi.org/10.3842/SIGMA.2010.029
Abstract: The construction elements of the factorised form of the Yang–Baxter $R$ operator acting on generic representations of $q$-deformed $s\ell(n+1)$ 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.
Keywords: Yang–Baxter equation; factorisation method.
Received: October 28, 2009; in final form March 30, 2010; Published online April 7, 2010
Bibliographic databases:
Document Type: Article
MSC: 81R50; 82B23
Language: English
Citation: David Karakhanyan, Roland Kirschner, “Jordan–Schwinger Representations and Factorised Yang–Baxter Operators”, SIGMA, 6 (2010), 029, 16 pp.
Citation in format AMSBIB
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\paper Jordan--Schwinger Representations and Factorised Yang--Baxter Operators
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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