RSK correspondence and classically irreducible Kirillov-Reshetikhin crystals

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:120

Article

Kwon, Jae-Hoon

关键词: Quantum affine algebra;    Kirillov-Reshetikhin crystal;    RSK algorithm;   

DOI  :  10.1016/j.jcta.2012.09.003

来源: Elsevier

【 摘 要 】

We give a new combinatorial model of the Kirillov-Reshetikhin crystals of type A(n)((1)) in terms of non-negative integral matrices based on the classical RSK algorithm, which has a simple description of the affine crystal structure without using the promotion operator. We have a similar description of the Kirillov-Reshetikhin crystals associated to exceptional nodes in the Dynkin diagrams of classical affine or non-exceptional affine type, which are called classically irreducible together with those of type A(n)((1))). (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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