2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105037We prove the modular branching rule of the cyclotomic Hecke algebras, which has remained open.9 pages, last section removed, (v3,v4) minor changes in the introduction, (v5,v6) more detailed citations added, typos correctedRepresentation TheoryQuantum AlgebraProof of the modular branching rule for cyclotomic Hecke algebrastext