2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79610We construct a subalgebra of the Hecke algebra of type A. This is a generalization of the group algebra of the alternating groups. All the equivalent classes of irreducible representations of the subalgebra and the q-analogue of the branching rule between symmetric groups and alternating groups is obtained.23 pagesQuantum AlgebraRepresentation Theory81R50text