2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170738This paper proves the existence of cuspidal automorphic forms for a reductive group, invariant under an automorphism of finite order. The techniques used are a local analysis of orbital integrals and the Arthur-Selberg trace formula.Representation TheoryNumber TheoryCuspidal representations of reductive groupstext