5
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Grothendieck-Verdier duality in categories of bimodules and weak module functors

      Preprint
      , , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Various monoidal categories, including suitable representation categories of vertex operator algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a Grothendieck-Verdier category comes with two tensor products which should be related by distributors obeying pentagon identities. We discuss in which circumstances these distributors are isomorphisms. This is achieved by taking the perspective of module categories over monoidal categories, using in particular the natural weak module functor structure of internal Homs and internal coHoms. As an illustration, we exhibit these concepts concretely in the case of categories of bimodules over associative algebras.

          Related collections

          Author and article information

          Journal
          30 June 2023
          Article
          2306.17668
          d9b6c294-8973-4068-91c2-fb0b001821d6

          http://creativecommons.org/licenses/by-nc-sa/4.0/

          History
          Custom metadata
          18M10, 16B50, 81R10
          Hamburger Beitr. zur Mathematik Nr. 945; ZMP-HH/23-11
          24 pages
          math.CT hep-th math.QA

          High energy & Particle physics,General mathematics,Algebra
          High energy & Particle physics, General mathematics, Algebra

          Comments

          Comment on this article