Reflection fusion categories

Author(s)
Etingof, Pavel I; Galindo, César
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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
Date issued
2018-12
URI
https://hdl.handle.net/1721.1/124360
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Journal of Algebra
Publisher
Elsevier BV
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)
Version: Original manuscript
ISSN
1090-266X
0021-8693
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