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arXiv · 1806.04600

The magic square of reflections and rotations

Ragnar-Olaf Buchweitz·Eleonore Faber·Colin Ingalls
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Abstract

We show how Coxeter's work implies a bijection between complex reflection groups of rank two and real reflection groups in $O(3)$. 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.

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Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls. 2018-06-12. The magic square of reflections and rotations. https://arxiv.org/abs/1806.04600

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