Bulg. J. Phys. vol.33 no.s2 (2006), pp. 68-75



Quasi Crystals and Non-Crystallographic Coxeter Groups

M. Koca
Department of Physics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khoud, 123 Muscat, Sultanate of Oman
Abstract. Non-crystallographic Coxeter Groups W(H2), W(H3) and W(H4) are introduced using quaternionic representations of their root systems. Their embeddings in the Weyl groups W(A4), W(D6) and W(E8) are discussed. The maximal subgroups of W(H4) are classified.

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