The \(E_ 7\) commuting squares produce \(D_{10}\) as principal graph
type: Item
instance of: scholarly article
title: The \(E_ 7\) commuting squares produce \(D_{10}\) as principal graph
zbMATH Open document ID: 0814.46054
author: David E. Evans
author: Yasuyuki Kawahigashi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1994-09-27T00:00:00Z
review text: Summary: We prove that the (two) connections, or commuting squares, on the Coxeter-Dynkin diagram \(E_ 7\) produce a subfactor with principal graph \(D_{10}\). 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.
Mathematics Subject Classification ID: 46L37
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 621971
zbMATH Keywords: connections
zbMATH Keywords: commuting squares
zbMATH Keywords: Coxeter-Dynkin diagram
zbMATH Keywords: subfactor
zbMATH Keywords: principal graph
zbMATH Keywords: modular invariants in conformal field theory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195166280
OpenAlex ID: W2169882486
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DOI: 10.2977/PRIMS/1195166280
description: scientific article; zbMATH DE number 621971