Cuadra, JuanMeir, Ehud2018-08-242018-08-242017-09Cuadra, J & Meir, E 2017, 'Orders of Nikshych's Hopf algebra', Journal of Noncommutative Geometry, vol. 11, no. 3, pp. 919-955. https://doi.org/10.4171/JNCG/11-3-51661-6952ArXiv: 1405.2977http://hdl.handle.net/2164/10971The first author was supported by grant MTM2014-54439-P from MICINN and FEDER and by the research group FQM0211 from Junta de Andalucía. The second author was supported by the Danish National Research Foundation (DNRF) through the Centre for Symmetry and Deformation. The authors are grateful to Dror Speiser for doing the previous computer calculation and to Bjorn Poonen for a conversation about the number theoretical condition in Theorem 7.1. The authors are finally indebted to the referee for his/her comments and suggestions, which helped to improve substantially the presentation of the results.37412013engfusion categoriessemisimple Hopf algebrasHopf ordersgroup schemescyclotomic integersQA MathematicsQAJournal article10.4171/JNCG/11-3-5113