Tropical integrable systems and Young tableaux: shape equivalence and Littlewood–Richardson correspondence

Shinsuke Iwao
2018 Journal of Integrable Systems  
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.
doi:10.1093/integr/xyy011 fatcat:w66gp6oihnft5lde4cjfn4rzmq