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dc.contributor.author
Dong, Jingcheng  
dc.contributor.author
Natale, Sonia Lujan  
dc.contributor.author
Vendramin, Claudio Leandro  
dc.date.available
2018-05-03T21:06:49Z  
dc.date.issued
2015-03  
dc.identifier.citation
Dong, Jingcheng; Natale, Sonia Lujan; Vendramin, Claudio Leandro; Frobenius property for fusion categories of small integral dimension; World Scientific; Journal of Algebra and its Applications; 14; 2; 3-2015; 1-17; 1550011  
dc.identifier.issn
0219-4988  
dc.identifier.uri
http://hdl.handle.net/11336/44079  
dc.description.abstract
Let k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion categories of Frobenius–Perron dimensions 84 and 90 are of Frobenius type. Combining this with previous results in the literature, we obtain that every weakly integral fusion category of Frobenius–Perron dimension less than 120 is of Frobenius type.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
World Scientific  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Fusion Category  
dc.subject
Frobenius Property  
dc.subject
Frobenius-Perron Dimension  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Frobenius property for fusion categories of small integral dimension  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-04-16T14:58:56Z  
dc.identifier.eissn
1793-6829  
dc.journal.volume
14  
dc.journal.number
2  
dc.journal.pagination
1-17; 1550011  
dc.journal.pais
Singapur  
dc.journal.ciudad
Singapur  
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.description.fil
Fil: Vendramin, Claudio Leandro. Philipps-Universität Marburg; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Journal of Algebra and its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219498815500115  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1209.1726  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498815500115  

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