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Tannakian formalism for fiber functors over tensor categories

Jafari, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1007/s10998-017-0213-0
  3. Abstract:
  4. 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. © 2017 Akadémiai Kiadó, Budapest, Hungary
  5. Keywords:
  6. Fiber functor ; Framed object ; Hopf algebra ; Hopf algebroid ; Module category ; Tannakian category
  7. Source: Periodica Mathematica Hungarica ; 2017 , Pages 1-26 ; 00315303 (ISSN)
  8. URL: https://link.springer.com/article/10.1007/s10998-017-0213-0