Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence
Combinatorics
2018-07-03 v1
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.
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Cite
@article{arxiv.1803.06251,
title = {Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence},
author = {Shinsuke Iwao},
journal= {arXiv preprint arXiv:1803.06251},
year = {2018}
}
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19 pages