Abstract
The title refers to the square diagram of bijections between various classes of finite subgroups of classical groups. We survey how Coxeter’s work implies a bijection between complex reflection groups of rank two and real reflection groups in . We also consider this magic square of reflections and rotations in the framework of Clifford algebras: we give an interpretation using (s)pin groups and explore these groups in small dimensions.
Citation
Ragnar-Olaf Buchweitz. Eleonore Faber. Colin Ingalls. "THE MAGIC SQUARE OF REFLECTIONS AND ROTATIONS." Rocky Mountain J. Math. 53 (6) 1721 - 1747, December 2023. https://doi.org/10.1216/rmj.2023.53.1721
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