Reflection fusion categories
We introduce the notion of a reflection fusion category, which is a type of a G-crossed category generated by objects of Frobenius–Perron dimension 1 and [mathematical figure; see source], where p is an odd prime. We show that such categories correspond to orthogonal reflection groups over [mathemat...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Elsevier BV
2020
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| Online Access: | https://hdl.handle.net/1721.1/124360 |
| _version_ | 1826196678515884032 |
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| author | Etingof, Pavel I Galindo, César |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I Galindo, César |
| author_sort | Etingof, Pavel I |
| collection | MIT |
| description | We introduce the notion of a reflection fusion category, which is a type of a G-crossed category generated by objects of Frobenius–Perron dimension 1 and [mathematical figure; see source], where p is an odd prime. We show that such categories correspond to orthogonal reflection groups over [mathematical figure; see source]. This allows us to use the known classification of irreducible reflection groups over finite fields to classify irreducible reflection fusion categories. ©2018 Keywords: fusion categories; reflection groups; coxeter groups; G-crossed categories |
| first_indexed | 2024-09-23T10:34:25Z |
| format | Article |
| id | mit-1721.1/124360 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:34:25Z |
| publishDate | 2020 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1243602022-09-27T09:59:17Z Reflection fusion categories Etingof, Pavel I Galindo, César Massachusetts Institute of Technology. Department of Mathematics We introduce the notion of a reflection fusion category, which is a type of a G-crossed category generated by objects of Frobenius–Perron dimension 1 and [mathematical figure; see source], where p is an odd prime. We show that such categories correspond to orthogonal reflection groups over [mathematical figure; see source]. This allows us to use the known classification of irreducible reflection groups over finite fields to classify irreducible reflection fusion categories. ©2018 Keywords: fusion categories; reflection groups; coxeter groups; G-crossed categories NSF grant DMS-1502244 2020-03-26T15:27:06Z 2020-03-26T15:27:06Z 2018-12 2018-03 2019-11-12T17:35:48Z Article http://purl.org/eprint/type/JournalArticle 1090-266X 0021-8693 https://hdl.handle.net/1721.1/124360 Etingof, Pavel, and César Galindo, "Reflection fusion categories." Journal of Algebra 516 (2018): p. 172-96 doi 10.1016/j.jalgebra.2018.09.006 ©2018 Author(s) en 10.1016/J.JALGEBRA.2018.09.006 Journal of Algebra Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Etingof, Pavel I Galindo, César Reflection fusion categories |
| title | Reflection fusion categories |
| title_full | Reflection fusion categories |
| title_fullStr | Reflection fusion categories |
| title_full_unstemmed | Reflection fusion categories |
| title_short | Reflection fusion categories |
| title_sort | reflection fusion categories |
| url | https://hdl.handle.net/1721.1/124360 |
| work_keys_str_mv | AT etingofpaveli reflectionfusioncategories AT galindocesar reflectionfusioncategories |