Communications in Mathematical Physics

, Volume 286, Issue 3, pp 1141–1157

On Haagerup’s List of Potential Principal Graphs of Subfactors


DOI: 10.1007/s00220-008-0588-0

Cite this article as:
Asaeda, M. & Yasuda, S. Commun. Math. Phys. (2009) 286: 1141. doi:10.1007/s00220-008-0588-0


We show that any graph, in the sequence given by Haagerup in 1991 as that of candidates of principal graphs of subfactors, is not realized as a principal graph except for the smallest two. This settles the remaining case of a previous work of the first author.

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California RiversideRiversideUSA
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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