%0 Journal Article %T Reconstruction of Weak Quasi Hopf Algebras %A Reinhard H£¿ring %J Mathematics %D 1995 %I arXiv %X All 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. %U http://arxiv.org/abs/q-alg/9504001v1