A crystal theoretic method for finding rigged configurations from paths

Details A crystal theoretic method for finding rigged configurations from paths A crystal theoretic method for finding rigged configurations from paths

2007-08-27

arxiv.org/abs/0708.3544v2

J. Phys. A: Math. Theor. 41 (2008) 355208 (21pp)

Mathematics

Quantum Algebra

24 pages, version for publication

Scientific paper

10.1088/1751-8113/41/35/355208

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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