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.
Збережено в:
| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-148642 |
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| record_format |
dspace |
| spelling |
irk-123456789-1486422019-02-19T01:31:50Z On the Equivalence of Module Categories over a Group-Theoretical Fusion Category Natale, S. 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. 2017 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148642 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Natale, S. |
| spellingShingle |
Natale, S. On the Equivalence of Module Categories over a Group-Theoretical Fusion Category Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Natale, S. |
| author_sort |
Natale, S. |
| title |
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_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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT natales ontheequivalenceofmodulecategoriesoveragrouptheoreticalfusioncategory |
| first_indexed |
2023-05-20T17:30:56Z |
| last_indexed |
2023-05-20T17:30:56Z |
| _version_ |
1796153461536980992 |