2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230616We show that the set R(w_0) of reduced expressions for the longest element in the hyperoctahedral group exhibits the cyclic sieving phenomenon. More specifically, R(w_0) possesses a natural cyclic action given by moving the first letter of a word to the end, and we show that the orbit structure of this action is encoded by the generating function for the major index on R(w_0).10 pagesCombinatoricsRepresentation TheoryCyclic sieving for longest reduced words in the hyperoctahedral grouptext