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

Published 24 Jul 2019 in math-ph, math.MP, math.QA, and nlin.SI | (1907.10234v2)

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 $A^{{(1)}_{n-1}$.}