Similarity and Kirillov-Schilling-Shimozono bijection

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 $\mathbb{Q}$. Conjectures on the extension to $\mathbb{R}$ is also presented.

14 pages

References in corpus (4)

• Existence of Kirillov-Reshetikhin crystals for nonexceptional types
• Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
• Tau functions in combinatorial Bethe ansatz
• Simplicity and similarity of Kirillov-Reshetikhin crystals