Similarity and Kirillov-Schilling-Shimozono bijection

preprint2015arXivOpen access

Abstract

The behavior of the Kirillov-Schilling-Shimozono bijection is examined under the similarity map on Kirillov-Reshetikhin crystals. It enables us to define this bijection over Q\mathbb{Q}. Conjectures on the extension to R\mathbb{R} is also presented.

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