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math-ph2002
A new Lax pair for the sixth Painlevé equation associated with
Masatoshi Noumi, Yasuhiko Yamada
A new Lax pair for the sixth Painlevé equation is constructed in the framework of the loop algebra . The whole affine Weyl group symmetry of $P…
math-ph2002
Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions
Masatoshi Noumi, Yasuhiko Yamada
By using an elementary matrix approach, based on the technique of discrete Toda equation, we construct subtraction-free rational and piecewise linear transformations associated wit…