The magic square of reflections and rotations
Group Theory
2024-01-23 v2 Rings and Algebras
Abstract
We show 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.
Cite
@article{arxiv.1806.04600,
title = {The magic square of reflections and rotations},
author = {Ragnar-Olaf Buchweitz and Eleonore Faber and Colin Ingalls},
journal= {arXiv preprint arXiv:1806.04600},
year = {2024}
}
Comments
27 pages, V2: final version