The Magic Square of Reflections and Rotations

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Date
2018-07-01MFO Scientific Program
Research in Pairs 2018Series
Oberwolfach Preprints;2018,13Author
Buchweitz, Ragnar-Olaf
Faber, Eleonore
Ingalls, Colin
Metadata
Show full item recordOWP-2018-13
Abstract
We 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.