Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence
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keywords
shapecorrespondenceintegrablelittlewood-richardsonsystemstableauxtropicalyoung
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We present a new characterization of the shape equivalent class and the Littlewood-Richardson correspondence of Young tableaux in terms of tropical (ultradiscrete) integrable systems. As an application, an alternative proof of the "shape change theorem" is given.
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