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

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dc.contributor.authorMorrison, Scott
dc.date.accessioned2014-04-14T05:52:47Z
dc.date.available2014-04-14T05:52:47Z
dc.date.issued2014
dc.date.updated2015-12-11T07:23:47Z
dc.description.abstractWe 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.
dc.description.sponsorshipScott Morrison is supported by a Discovery Early Career Research Award (DE120100232) from the Australian Research Council. This work was also supported by the ARC Discovery Project Grant ‘Subfactors and symmetries’ (DP140100732), and the DARPA grant ‘Quantum symmetries: Planar Algebras and Free Probability’ (HR0011-12-1-0009).en_AU
dc.format8 pages
dc.identifier.issn0273-0979
dc.identifier.urihttp://hdl.handle.net/1885/11573
dc.publisherAmerican Mathematical Society
dc.relationhttp://purl.org/au-research/grants/arc/DE120100232
dc.relationhttp://purl.org/au-research/grants/arc/DP140100732
dc.rights© The Author; http://www.sherpa.ac.uk/romeo/issn/0273-0979/ author can archive pre-print (ie pre-refereeing); author can archive post-print (ie final draft post-refereeing); author can archive publisher's version/PDF
dc.sourceBulletin of the American Mathematical Society 46.2 (2014): 1-9
dc.subjectOperator Algebras (math.OA)
dc.subjectQuantum Algebra (math.QA)
dc.titleAn obstruction to subfactor principal graphs from the graph planar algebra embedding
dc.typeJournal article
local.bibliographicCitation.issue3
local.bibliographicCitation.lastpage608
local.bibliographicCitation.startpage600
local.contributor.affiliationMorrison, Scott, College of Physical and Mathematical Sciences, ANU
local.contributor.authoremailscott.morrison@anu.edu.auen_AU
local.contributor.authoruidu5228111en_AU
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationU3488905xPUB2403
local.identifier.citationvolume46
local.identifier.doi10.1112/blms/bdu009
local.identifier.scopusID2-s2.0-84901266326
local.identifier.thomsonID000336981100018
local.identifier.uidSubmittedByu5228111en_AU
local.publisher.urlhttp://www.ams.org/journals/en_AU
local.type.statusAccepted Versionen_AU

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