| dc.contributor.author | Etingof, Pavel I | |
| dc.contributor.author | Galindo, César | |
| dc.date.accessioned | 2020-03-26T15:27:06Z | |
| dc.date.available | 2020-03-26T15:27:06Z | |
| dc.date.issued | 2018-12 | |
| dc.date.submitted | 2018-03 | |
| dc.identifier.issn | 1090-266X | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/124360 | |
| dc.description.abstract | 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 | en_US |
| dc.description.sponsorship | NSF grant DMS-1502244 | en_US |
| dc.language.iso | en | |
| dc.publisher | Elsevier BV | en_US |
| dc.relation.isversionof | 10.1016/J.JALGEBRA.2018.09.006 | en_US |
| dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs License | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Reflection fusion categories | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | 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_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Journal of Algebra | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dc.date.updated | 2019-11-12T17:35:48Z | |
| dspace.date.submission | 2019-11-12T17:35:50Z | |
| mit.journal.volume | 516 | en_US |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Complete | |
