A crystal to rigged configuration bijection for nonexceptional affine algebras

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dc.creatorOkado, Masato
dc.creatorSchilling, Anne
dc.creatorShimozono, Mark
dc.date2002-03-16
dc.date.accessioned2026-07-07T04:47:06Z
dc.date.available2026-07-07T04:47:06Z
dc.descriptionKerov, Kirillov, and Reshetikhin defined a bijection between highest weight vectors in the crystal graph of a tensor power of the vector representation, and combinatorial objects called rigged configurations, for type $A^{(1)}_n$. We define an analogous bijection for all nonexceptional affine types, thereby proving (in this special case) the fermionic formulas conjectured by Hatayama, Kuniba, Takagi, Tsuboi, Yamada, and the first author.
dc.description34 pages; axodraw.sty file required
dc.identifierhttps://arxiv.org/abs/math/0203163
dc.identifierhttp://arxiv.org/abs/math/0203163
dc.identifier"Algebraic Combinatorics and Quantum Groups", Edited by N. Jing, World Scientific (2003), 85-124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63582
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject17B37; 82B23; 05A19; 81R50; 05E15
dc.titleA crystal to rigged configuration bijection for nonexceptional affine algebras
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