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 a tool for analysis of the periodic box-ball systems.
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