Reconstruction of weak quasi Hopf algebras
This paper provides a structure theorem of abelian tortile tensor categories in which there are only finitely many non-isomorphic indecomposable objects and every object is a direct sum of some of them. Each such category is equivalent to the category of representations of some weak quasi Hopf algebra. This result is one variant of Tannaka duality; for background see \textit{A. Joyal} and \textit{R. Street} [``An introduction to Tannaka duality and quantum groups'' in: Category theory, Proc., Como 1990, Lect. Notes Math. 1488, 413-492 (1991; Zbl 0745.57001)].
scientific article; zbMATH DE number 1053874