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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 042, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.042 (Mi sigma1242) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Equivalence of Module Categories over a Group-Theoretical Fusion Category

Sonia Natale

Facultad de Matemática, Astronomía, Física y Computación, Universidad Nacional de Córdoba, CIEM-CONICET, Córdoba, Argentina
Full-text PDF (347 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2017.042
Abstract: We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category ${\mathcal C}$ to be equivalent. This concludes the classification of such module categories.
Keywords: fusion category; module category; group-theoretical fusion category.
Funding agency Grant number
Consejo Nacional de Investigaciones Cientificas y Tecnicas
This research was partially supported by CONICET and SeCyT — Universidad Nacional de Córdoba, Argentina.
Received: April 28, 2017; in final form June 14, 2017; Published online June 17, 2017
Bibliographic databases:
Document Type: Article
MSC: 18D10; 16T05
Language: English
Citation: Sonia Natale, “On the Equivalence of Module Categories over a Group-Theoretical Fusion Category”, SIGMA, 13 (2017), 042, 9 pp.
Citation in format AMSBIB
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\by Sonia~Natale
\paper On the Equivalence of Module Categories over a Group-Theoretical Fusion Category
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\totalpages 9
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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