2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164391We study the quiver of the descent algebra of a finite Coxeter group W. The results include a derivation of the quiver of the descent algebra of types A and B. Our approach is to study the descent algebra as an algebra constructed from the reflection arrangement associated to W.31 pages, LaTeX; major revision; to appear in Journal of AlgebraRepresentation TheoryCombinatorics20F55, 05E99 (Primary)text