2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60035We propose a construction of quantum hypergroups using conditional expectations on compact quantum groups. Using this construction, we describe several series of non-trivial finite-dimensional quantum hypergroups via conditional expectations of Delsart type on non-trivial Kac algebras obtained by twisting of the finite groups.LaTeX, 25 pagesQuantum AlgebraConditional expectations on compact quantum groups and new examples of quantum hypergroupstext