Quaternionic representation of the Coxeter groupW(H4) and the polyhedra

DOI10.1088/0305-4470/39/45/013zbMath1109.20305OpenAlexW1973889162MaRDI QIDQ3419356

Mehmet Koca, Ramazan Koç, Mudhahir Al-Ajmi

Publication date: 6 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/45/013

zbMATH Keywords

maximal subgroupsicosahedral groupnon-crystallographic Coxeter groups

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (4)

Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups ⋮ SU(5) grand unified theory, its polytopes and 5-fold symmetric aperiodic tiling ⋮ Clifford spinors and root system induction: \(H_4\) and the grand antiprism ⋮ Binary icosahedral group and 600-cell

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