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

Morrison, Scott

Description

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.

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/11573
Source: Bulletin of the American Mathematical Society 46.2 (2014): 1-9
DOI: 10.1112/blms/bdu009

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