A crystal theoretic method for finding rigged configurations from paths
arXiv:0708.3544 · doi:10.1088/1751-8113/41/35/355208
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.
24 pages, version for publication
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