Mathematics > Group Theory
[Submitted on 12 Jun 2018 (v1), last revised 22 Jan 2024 (this version, v2)]
Title:The magic square of reflections and rotations
View PDF HTML (experimental)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.
Submission history
From: Eleonore Faber [view email][v1] Tue, 12 Jun 2018 15:21:58 UTC (35 KB)
[v2] Mon, 22 Jan 2024 05:29:58 UTC (32 KB)
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