2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153372All rational semisimple braided tensor categories are representation categories of weak quasi Hopf algebras. To proof this result we construct for any given category of this kind a weak quasi tensor functor to the category of finite dimensional vector spaces. This allows to reconstruct a weak quasi Hopf algebra with the given category as its representation category.19 pages, LaTex2EQuantum Algebratext