2016/09/10 by Mostafa Einollahzadeh, Einollahzadeh, Mostafa, Amir Jafari +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1609.03023
openalex publication_date 2016/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we generalize Tannakian formalism to fiber functors over general tensor categories. We will show that (under some technical conditions) if the fiber functor has a section, then the source category is equivalent to the category of comodules over a Hopf algebra in the target category. We will also give a description of this Hopf algebra using the notion of framed objects.