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dc.contributor.author
Dong, Jingcheng  
dc.contributor.author
Natale, Sonia Lujan  
dc.date.available
2018-09-17T20:52:37Z  
dc.date.issued
2017-11  
dc.identifier.citation
Dong, Jingcheng; Natale, Sonia Lujan; On the Classification of Almost Square-Free Modular Categories; Springer; Algebras and Representation Theory; 11-2017; 1-16  
dc.identifier.issn
1386-923X  
dc.identifier.uri
http://hdl.handle.net/11336/59995  
dc.description.abstract
Let (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.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Braided Fusion Category  
dc.subject
Braided G-Crossed Fusion Category  
dc.subject
Group-Theoretical Fusion Category  
dc.subject
Modular Category  
dc.subject
Tannakian Category  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On the Classification of Almost Square-Free Modular Categories  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-09-14T19:03:22Z  
dc.journal.pagination
1-16  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: Dong, Jingcheng. Nanjing Agricultural University; China  
dc.description.fil
Fil: Natale, Sonia Lujan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina  
dc.journal.title
Algebras and Representation Theory  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-017-9750-8  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10468-017-9750-8  

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