On the Classification of Almost Square-Free Modular Categories

dc.creatorDong, Jingcheng
dc.creatorNatale, Sonia Lujan
dc.date.accessioned2018-09-17T20:52:37Z
dc.date.accessioned2018-11-06T16:01:28Z
dc.date.available2018-09-17T20:52:37Z
dc.date.available2018-11-06T16:01:28Z
dc.date.created2018-09-17T20:52:37Z
dc.date.issued2017-11
dc.identifierDong, Jingcheng; Natale, Sonia Lujan; On the Classification of Almost Square-Free Modular Categories; Springer; Algebras and Representation Theory; 11-2017; 1-16
dc.identifier1386-923X
dc.identifierhttp://hdl.handle.net/11336/59995
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1903643
dc.description.abstractLet (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore group-theoretical. In the case where q = 2, we describe the structure of (Formula presented.) in terms of equivariantizations of group-crossed braided fusion categories.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-017-9750-8
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10468-017-9750-8
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBRAIDED FUSION CATEGORY
dc.subjectBRAIDED G-CROSSED FUSION CATEGORY
dc.subjectGROUP-THEORETICAL FUSION CATEGORY
dc.subjectMODULAR CATEGORY
dc.subjectTANNAKIAN CATEGORY
dc.titleOn the Classification of Almost Square-Free Modular Categories
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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