Crystal Interpretation of Kerov-Kirillov-Reshetikhin Bijection II. Proof for sl_n Case

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dc.creatorSakamoto, Reiho
dc.date2006-01-28
dc.date2007-06-11
dc.date.accessioned2026-07-07T11:48:16Z
dc.date.available2026-07-07T11:48:16Z
dc.descriptionIn proving the Fermionic formulae, combinatorial bijection called the Kerov--Kirillov--Reshetikhin (KKR) bijection plays the central role. It is a bijection between the set of highest paths and the set of rigged configurations. In this paper, we give a proof of crystal theoretic reformulation of the KKR bijection. It is the main claim of Part I (math.QA/0601630) written by A. Kuniba, M. Okado, T. Takagi, Y. Yamada, and the author. The proof is given by introducing a structure of affine combinatorial $R$ matrices on rigged configurations.
dc.description45 pages, version for publication. Introduction revised, more explanations added to the main text
dc.identifierhttps://arxiv.org/abs/math/0601697
dc.identifierhttp://arxiv.org/abs/math/0601697
dc.identifierJ.Algebr.Comb.27:55-98,2008
dc.identifierdoi:10.1007/s10801-007-0075-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202863
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleCrystal Interpretation of Kerov-Kirillov-Reshetikhin Bijection II. Proof for sl_n Case
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