A crystal theoretic method for finding rigged configurations from paths

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dc.creatorSakamoto, Reiho
dc.date2007-08-27
dc.date2008-07-08
dc.date.accessioned2026-07-07T09:54:07Z
dc.date.available2026-07-07T09:54:07Z
dc.descriptionThe 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.
dc.description24 pages, version for publication
dc.identifierhttps://arxiv.org/abs/0708.3544
dc.identifierhttp://arxiv.org/abs/0708.3544
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 355208 (21pp)
dc.identifierdoi:10.1088/1751-8113/41/35/355208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166198
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleA crystal theoretic method for finding rigged configurations from paths
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