2002/03/16 by Masato Okado, Anne Schilling, Mark Shimozono
Mathematics · #math.QA #math.CO #msc:17B37 #msc:82B23 #msc:05A19 #msc:81R50 #msc:05E15
published as "Algebraic Combinatorics and Quantum Groups", Edited by N. Jing, World Scientific (2003), 85-124 · 34 pages; axodraw.sty file required
arxiv created 2002/03/16 · arxiv updated 2009/11/30
Kerov, 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.