2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124907Based on the works by Kajiwara, Noumi and Yamada, we propose a canonically quantized version of the rational Weyl group representation which originally arose as "symmetries" or the Bäcklund transformations in Painlevé equations. We thereby propose a quantization of the discrete Painlevé VI equation as a discrete Hamiltonian flow commuting with the action of $W(D_4^{(1)})$.12 pagesQuantum Algebra37K60, 39A70, 81R50text