The center of the extended Haagerup subfactor has 22 simple objects
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Morrison, Scott; Walker, Kevin
Description
We explain a technique for discovering the number of simple objects in Z(), the center of a fusion category , as well as the combinatorial data of the induction and restriction functors at the level of Grothendieck rings. The only input is the fusion ring K() and the dimension function K. In particular, we apply this to deduce that the center of the extended Haagerup subfactor has 22 simple objects, along with their decompositions as objects in either of the fusion categories associated to the...[Show more]
dc.contributor.author | Morrison, Scott | |
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dc.contributor.author | Walker, Kevin | |
dc.date.accessioned | 2020-12-20T20:58:00Z | |
dc.date.available | 2020-12-20T20:58:00Z | |
dc.identifier.issn | 0129-167X | |
dc.identifier.uri | http://hdl.handle.net/1885/218451 | |
dc.description.abstract | We explain a technique for discovering the number of simple objects in Z(), the center of a fusion category , as well as the combinatorial data of the induction and restriction functors at the level of Grothendieck rings. The only input is the fusion ring K() and the dimension function K. In particular, we apply this to deduce that the center of the extended Haagerup subfactor has 22 simple objects, along with their decompositions as objects in either of the fusion categories associated to the subfactor. This information has been used subsequently in [T. Gannon and S. Morrison, Modular data for the extended Haagerup subfactor (2016), arXiv:1606.07165.] to compute the full modular data | |
dc.description.sponsorship | Scott Morrison was supported by an Australian Research Council ‘Discovery Early Career Researcher Award’, DE120100232 and ‘Discovery Project’ DP140100732. Scott Morrison and Kevin Walker were supported by DODDARPA grant HR0011-12-1-0009. | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_AU | |
dc.publisher | World Scientific Publishing Company | |
dc.rights | © 2017 World Scientific Publishing Company | |
dc.source | International Journal of Mathematics | |
dc.subject | Modular data | |
dc.subject | modular tensor categories | |
dc.subject | subfactors | |
dc.title | The center of the extended Haagerup subfactor has 22 simple objects | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 28 | |
dcterms.dateAccepted | 2016-12-26 | |
dc.date.issued | 2017-02-08 | |
local.identifier.absfor | 010101 - Algebra and Number Theory | |
local.identifier.ariespublication | a383154xPUB5201 | |
local.type.status | Published Version | |
local.contributor.affiliation | Morrison, Scott, College of Science, ANU | |
local.contributor.affiliation | Walker, Kevin, Microsoft Station Q | |
local.description.embargo | 2099-12-31 | |
local.bibliographicCitation.issue | 1 | |
local.identifier.doi | 10.1142/S0129167X17500094 | |
dc.date.updated | 2020-11-23T11:15:06Z | |
local.identifier.scopusID | 2-s2.0-85012060117 | |
local.identifier.thomsonID | 000395125600007 | |
dc.relation.uri | http://purl.org/au-research/grants/arc/DE120100232 | |
dc.relation.uri | http://purl.org/au-research/grants/arc/DP140100732 | |
Collections | ANU Research Publications |
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