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arXiv:1803.06251 [math.CO]AbstractReferencesReviewsResources

Tropical integrable systems and Young tableaux: Shape equivalence and Littlewood-Richardson correspondence

Shinsuke Iwao

Published 2018-03-16Version 1

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.

Comments: 19 pages
Categories: math.CO
Subjects: 12K10, 05A05, 05A17
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