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math.CO2018★ 1 cited
Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence
Shinsuke Iwao
We present a new characterization of the shape equivalent class and the Littlewood-Richardson correspondence of Young tableaux in terms of tropical (ultradiscrete) integrable syste…
math.CO2018
Jeu de taquin, uniqueness of rectification, and ultradiscrete KP
Shinsuke Iwao
In this paper, we study tropical-theoretic aspects of the ``rectification algorithm'' on skew Young tableaux. It is shown that the algorithm is interpreted as a time evolution of s…