Discretization of SU(2) and the orthogonal group using icosahedral symmetries and the golden numbers

DOI10.1080/00927872.2017.1388815zbMath1499.20097arXiv1705.04910OpenAlexW2963062344MaRDI QIDQ4570922

Robert V. Moody, Jun Morita

Publication date: 10 July 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04910

zbMATH Keywords

quaternionsicosahedral symmetrynon-crystallographic root systemsdiscretization of \(\mathrm{SU}(2)\)golden numbersinfinite reflection groups

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete approximations in optimal control (49M25) Root systems (17B22) Orthogonal and unitary groups in metric geometry (51F25)

Cites Work

• A Clifford algebraic framework for Coxeter group theoretic computations.
• Maximal subgroups of the Coxeter group \(W(H_4)\) and quaternions.
• Novel Kac–Moody-type affine extensions of non-crystallographic Coxeter groups
• Quasicrystals and icosians
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