An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem

Scott Morrison

doi:10.1112/blms/bdu009

An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem

Scott Morrison^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We find a new obstruction to the principal graphs of subfactors. It shows that in a certain family of 3-supertransitive principal graphs, there must be a cycle by depth 6, with one exception, the principal graph of the Haagerup subfactor.

Original language	English
Pages (from-to)	600-608
Number of pages	9
Journal	Bulletin of the London Mathematical Society
Volume	46
Issue number	3
DOIs	https://doi.org/10.1112/blms/bdu009
Publication status	Published - Jun 2014

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An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem

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