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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
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
Citation:
Reiho Sakamoto, “Rigged Configurations and Kashiwara Operators”, SIGMA, 10 (2014), 028, 88 pp.
Linking options:
https://www.mathnet.ru/eng/sigma893 https://www.mathnet.ru/eng/sigma/v10/p28
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Abstract page: | 139 | Full-text PDF : | 38 | References: | 45 |
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