Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence
arXiv:1803.06251 · doi:10.1093/integr/xyy011
Abstract
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.
19 pages