Blog
About

4
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Computing Modular Data for Pointed Fusion Categories

      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

          A formula for the modular data of \(\mathcal{Z}(Vec^{\omega}G)\) was given by Coste, Gannon and Ruelle in arXiv:arch-ive/0001158, but without an explicit proof for arbitrary 3-cocycles. This paper presents a derivation using the representation category of the quasi Hopf algebra \(D^{\omega}G\). Further, we have written code to compute this modular data for many pairs of small finite groups and \(3\)-cocycles. This code is optimised using Galois symmetries of the \(S\) and \(T\) matrices. We have posted a database of modular data for the Drinfeld center of every Morita equivalence class of pointed fusion categories of dimension less than \(48\).

          Related collections

          Most cited references 8

          • Record: found
          • Abstract: not found
          • Article: not found

          Practical graph isomorphism, II

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            On the Classification of Topological Field Theories

             Jacob Lurie (2008)
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Remarks on Galois symmetry in rational conformal field theories

               A Coste,  T. Gannon (1994)
                Bookmark

                Author and article information

                Journal
                15 August 2018
                Article
                1808.05060

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                18D10 (Primary), 18-04 (Secondary)
                28 pages, 4 figures, 7 pages of appendices
                math.QA math.CT

                General mathematics, Algebra

                Comments

                Comment on this article