2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209782We introduce and investigate the basic properties of an involutory (dual) quasi-Hopf algebra. We also study the representations of an involutory quasi-Hopf algebra and prove that an involutory dual quasi-Hopf algebra with non-zero integral is cosemisimple.26 pagesQuantum Algebra16W30text