2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131250We present an explicit combinatorial realization of the commutor in the category of crystals which was first studied by Henriques and Kamnitzer. Our realization is based on certain local moves defined by van Leeuwen.10 pages, 1 figureRepresentation TheoryQuantum AlgebraPrimary 17B10; Secondary 22E46, 20G42On the Combinatorics of Crystal Graphs, II. The Crystal Commutatortext