Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection

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dc.creatorKuniba, Atsuo
dc.creatorOkado, Masato
dc.creatorSakamoto, Reiho
dc.creatorTakagi, Taichiro
dc.creatorYamada, Yasuhiko
dc.date2006-01-26
dc.date.accessioned2026-07-07T11:48:16Z
dc.date.available2026-07-07T11:48:16Z
dc.descriptionThe Kerov-Kirillov-Reshetikhin (KKR) bijection is the crux in proving fermionic formulas. It is defined by a combinatorial algorithm on rigged configurations and highest paths. We reformulate the KKR bijection as a vertex operator by purely using combinatorial R in crystal base theory. The result is viewed as a nested Bethe ansatz at q=0 as well as the direct and the inverse scattering (Gel'fand-Levitan) map in the associated soliton cellular automaton.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0601630
dc.identifierhttp://arxiv.org/abs/math/0601630
dc.identifierNucl.Phys.B740:299-327,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.02.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202862
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleCrystal interpretation of Kerov-Kirillov-Reshetikhin bijection
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