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arXiv · 0708.3544

A crystal theoretic method for finding rigged configurations from paths

Reiho Sakamoto
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Abstract

The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to one correspondences between the set of highest paths and the set of rigged configurations. In this paper, we give a crystal theoretic reformulation of the KKR map from the paths to rigged configurations, using the combinatorial R and energy functions. This formalism provides tool for analysis of the periodic box-ball systems.

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Reiho Sakamoto. 2008-07-08. A crystal theoretic method for finding rigged configurations from paths. https://doi.org/10.1088/1751-8113/41/35/355208

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