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

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