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dc.contributor.author
Jingcheng, Dong
dc.contributor.author
Natale, Sonia Lujan
dc.contributor.author
Hua, Sun
dc.date.available
2022-10-12T18:00:38Z
dc.date.issued
2021-02
dc.identifier.citation
Jingcheng, Dong; Natale, Sonia Lujan; Hua, Sun; A class of prime fusion categories of dimension 2^N; University of Albany; New York Journal of Mathematics; 27; 2-2021; 141-163
dc.identifier.uri
http://hdl.handle.net/11336/172764
dc.description.abstract
We study a class of strictly weakly integral fusion categories I_{N,ζ}, where N≥1 is a natural number and ζ is a 2^Nth root of unity, that we call N-Ising fusion categories. An N-Ising fusion category has Frobenius-Perron dimension 2^{N+1} and is a graded extension of a pointed fusion category of rank 2 by the cyclic group of order Z_{2^N}. We show that every braided N-Ising fusion category is prime and also that there exists a slightly degenerate N-Ising braided fusion category for all N>2. We also prove a structure result for braided extensions of a rank 2 pointed fusion category in terms of braided N-Ising fusion categories.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
University of Albany
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
BRAIDES FUSION CATEGORY
dc.subject
GROUP EXTENSION
dc.subject
ISING CATEGORY
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A class of prime fusion categories of dimension 2^N
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-04-26T17:34:48Z
dc.identifier.eissn
1076-9803
dc.journal.volume
27
dc.journal.pagination
141-163
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Jingcheng, Dong. Nanjing University Of Information Science & Technology; China
dc.description.fil
Fil: Natale, Sonia Lujan. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. 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: Hua, Sun. Yangzhou University; China
dc.journal.title
New York Journal of Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://nyjm.albany.edu/j/2021/27-5p.pdf
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