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On the Equivalence of Module Categories over a Group-Theoretical Fusion Category
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2017_13_a41,
     author = {Sonia Natale},
     title = {On the {Equivalence} of {Module} {Categories} over a {Group-Theoretical} {Fusion} {Category}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     volume = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a41/}
}
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Sonia Natale. On the Equivalence of Module Categories over a Group-Theoretical Fusion Category. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a41/

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