Maximal subgroups of the Coxeter group \(W(H_4)\) and quaternions.
From MaRDI portal
Publication:2576233
DOI10.1016/j.laa.2005.07.018zbMath1087.20036arXivhep-th/0510191OpenAlexW1996229455WikidataQ60139409 ScholiaQ60139409MaRDI QIDQ2576233
Ramazan Koç, Muataz Al-Barwani, Mehmet Koca, Shadia Al-Farsi
Publication date: 27 December 2005
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0510191
Maximal subgroups (20E28) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)
Related Items (12)
Examples of Simply Reducible Groups ⋮ Quaternionic root systems and subgroups of the Aut(F4) ⋮ Groupes de Coxeter finis: involutions et cubes ⋮ Discretization of SU(2) and the orthogonal group using icosahedral symmetries and the golden numbers ⋮ Quaternionic representation of snub 24-cell and its dual polytope derived from \(E_8\) root system. ⋮ SU(5) grand unified theory, its polytopes and 5-fold symmetric aperiodic tiling ⋮ Polyhedra obtained from Coxeter groups and quaternions ⋮ 4D-POLYTOPES AND THEIR DUAL POLYTOPES OF THE COXETER GROUP W(A4) REPRESENTED BY QUATERNIONS ⋮ Affine coxeter group Wa(A4), quaternions, and decagonal quasicrystals ⋮ Clifford spinors and root system induction: \(H_4\) and the grand antiprism ⋮ Automorphism groups of simply reducible groups ⋮ Regular and irregular chiral polyhedra from Coxeter diagrams via quaternions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The geometry of the Hall-Janko group as a quaternionic reflection group
- Quasicrystals and icosians
- Noncrystallographic Coxeter groupH4inE8
- Affine extension of noncrystallographic Coxeter groups and quasicrystals
- Quaternionic roots of SO(8), SO(9), F4 and the related Weyl groups
This page was built for publication: Maximal subgroups of the Coxeter group \(W(H_4)\) and quaternions.
