Reflection fusion categories
Name
1803.05568.pdf
Description
Submitted version
Size
316 KB
Format
Adobe PDF
Checksum (MD5)
fe2b42ff235482f54eff6f6e0ec691d4
Author(s)
Etingof, Pavel I
Galindo, César
Date Issued
December 2018
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
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.JALGEBRA.2018.09.006
