The Magic Square of Reflections and Rotations

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Date

Volume

13

Issue

Journal

Series Titel

Oberwolfach Preprints (OWP)

Book Title

Publisher

Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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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 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.

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