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MR1872262 (2002k:20021) 20C30 (17B37 37K10)
Yamada, Yasuhiko A birational representation of Weyl group, combinatorial $R$-matrix and discrete Toda equation. Physics and combinatorics, 2000 (Nagoya), 305–319, World Sci. Publ., River Edge, NJ, 2001.
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