Combinatorial R Matrices for a Family of Crystals: B(1)n,D(1)n,A(2)2n,and D(2)n + 1 Cases |
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| Affiliation: | 1. Institute of Physics, University of Tokyo, Komaba, Tokyo, 153-8902, Japan;2. Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, 560-8531, Japan |
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| Abstract: | For coherent families of crystals of affine Lie algebras of type B(1)n, D(1)n, A(2)2n, and D(2)n + 1 we describe the combinatorial R matrix using column insertion algorithms for B, C, D Young tableaux. This is a continuation of previous work by the authors (2000, in “Physical Combinatorics” (M. Kashiwara and T. Miwa, Eds.), Birkhäuser, Boston). |
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