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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 028, 88 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.028 (Mi sigma893) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Rigged Configurations and Kashiwara Operators

Reiho Sakamoto

Department of Physics, Tokyo University of Science, Kagurazaka, Shinjuku, Tokyo, Japan
Full-text PDF (1039 kB) Citations (15)
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DOI: https://doi.org/10.3842/SIGMA.2014.028
Abstract: For types $A^{(1)}_n$ and $D^{(1)}_n$ we prove that the rigged configuration bijection intertwines the classical Kashiwara operators on tensor products of the arbitrary Kirillov–Reshetikhin crystals and the set of the rigged configurations.
Keywords: crystal bases; rigged configurations; quantum affine algebras; box-ball systems.
Received: April 2, 2013; in final form February 28, 2014; Published online March 23, 2014
Bibliographic databases:
Document Type: Article
MSC: 17B37; 05E10; 82B23
Language: English
Citation: Reiho Sakamoto, “Rigged Configurations and Kashiwara Operators”, SIGMA, 10 (2014), 028, 88 pp.
Citation in format AMSBIB
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\paper Rigged Configurations and Kashiwara Operators
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\papernumber 028
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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