Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Buchweitz, Ragnar-OlafFaber, EleonoreIngalls, Colin2024-10-162024-10-162018https://oa.tib.eu/renate/handle/123456789/16875https://doi.org/10.34657/15897We show how Coxeter's work implies a bijection between complex reflection groups of rank two and real reflection groups in 0(3). 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.eng510Finite reflection groupsClifford algebrasQuaternionsPin groupsMcKay correspondenceReport