Stable rigged configurations for quantum affine algebras of nonexceptional types

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• 作者：Masato Okado^a ; ^{okado@sigmath.es.osaka-u.ac.jp"" rel=""nofollow} ; Reiho Sakamoto^b ; ^{reiho@rs.tus.ac.jp"" rel=""nofollow}
• 关键词：Quantum affine algebras ; Crystal bases ; Kirillov– ; Reshetikhin modules
• 刊名：Advances in Mathematics
• 出版年：2011
• 出版时间：1 October 2011
• 年：2011
• 卷：228
• 期：2
• 页码：1262-1293
• 全文大小：547 K

文摘

For an affine algebra of nonexceptional type in the large rank we show the fermionic formula depends only on the attachment of the node 0 of the Dynkin diagram to the rest, and the fermionic formula of not type A can be expressed as a sum of that of type A with Littlewood–Richardson coefficients. Combining this result with Kirillov et al. (2002) [13] and Lecouvey et al. (2011) [18] we settle the X=M conjecture under the large rank hypothesis.