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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148642 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730409901555712 |
|---|---|
| author | Natale, S. |
| author_facet | Natale, S. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T19:20:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148642 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:20:40Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | On the Equivalence of Module Categories over a Group-Theoretical Fusion Category Natale, S. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148642 |
| work_keys_str_mv | AT natales ontheequivalenceofmodulecategoriesoveragrouptheoreticalfusioncategory |