The Commuting Squares Produce as Principal Graph

  • David E. Evans

    University of Wales Cardiff, UK
  • Yasuyuki Kawahigashi

    University of Tokyo, Japan


We prove that the (two) connections, or commuting squares, on the Coxeter–Dynkin diagram produce a subfactor with principal graph . This was conjectured by J.-B. Zuber in connection with modular invariants in conformal field theory, and solve the last case of computing the flat parts of the connections on Coxeter–Dynkin diagrams with index less than 4.

Cite this article

David E. Evans, Yasuyuki Kawahigashi, The Commuting Squares Produce as Principal Graph. Publ. Res. Inst. Math. Sci. 30 (1994), no. 1, pp. 151–166

DOI 10.2977/PRIMS/1195166280