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arXiv · 1110.2629

RSK correspondence and classically irreducible Kirillov-Reshetikhin crystals

Jae-Hoon Kwon
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Abstract

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 a promotion operator. We also have a similar description of the Kirillov-Reshetikhin crystals associated to exceptional nodes in the Dynkin diagrams of classical affine or non-exceptional type.

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BibTeXRIS

Jae-Hoon Kwon. 2011-10-12. RSK correspondence and classically irreducible Kirillov-Reshetikhin crystals. https://doi.org/10.1016/j.jcta.2012.09.003

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