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arXiv · 1907.10234

Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type $A^{(1)}_{n-1}$

Atsuo Kuniba·Masato Okado
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Abstract

A trick to obtain a systematic solution to the set-theoretical reflection equation is presented from a known one to the Yang-Baxter equation. Examples are given from crystals and geometric crystals associated to the quantum affine algebra of type $A^{(1)}_{n-1}$.

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Atsuo Kuniba, Masato Okado. 2019-08-01. Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type $A^{(1)}_{n-1}$. https://doi.org/10.1093/integr%2Fxyz013

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