On the Equivalence of Module Categories over a Group-Theoretical Fusion Category
We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such module categories.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2017 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148642 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Equivalence of Module Categories over a Group-Theoretical Fusion Category / S. Natale // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-148642 |
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Natale, S. 2019-02-18T16:52:04Z 2019-02-18T16:52:04Z 2017 On the Equivalence of Module Categories over a Group-Theoretical Fusion Category / S. Natale // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 18D10; 16T05 DOI:10.3842/SIGMA.2017.042 https://nasplib.isofts.kiev.ua/handle/123456789/148642 We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such module categories. This research was partially supported by CONICET and SeCyT - Universidad Nacional de C´ordoba, Argentina. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Equivalence of Module Categories over a Group-Theoretical Fusion Category Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category |
| spellingShingle |
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category Natale, S. |
| title_short |
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category |
| title_full |
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category |
| title_fullStr |
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category |
| title_full_unstemmed |
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category |
| title_sort |
on the equivalence of module categories over a group-theoretical fusion category |
| author |
Natale, S. |
| author_facet |
Natale, S. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such module categories.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148642 |
| citation_txt |
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category / S. Natale // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 9 назв. — англ. |
| work_keys_str_mv |
AT natales ontheequivalenceofmodulecategoriesoveragrouptheoreticalfusioncategory |
| first_indexed |
2025-12-07T19:20:40Z |
| last_indexed |
2025-12-07T19:20:40Z |
| _version_ |
1850878449567137792 |