Noncrystallographic Coxeter group H4 in E8

Mehmet Koca, Ramazan Koc, Muataz Al Barwani

Research output: Contribution to journalArticlepeer-review


The E8 lattice is constructed in terms of icosians by matching two sets of F4 lattices described by quaternions. Embedding the noncrystallographic group H4 into the Weyl group W(E8) has been described using matrix generators with an emphasis on the relevant Coxeter elements. The conjugacy classes of H4 in terms of quaternions and the characters of the two four-dimensional irreducible representations are explicitly calculated.

Original languageEnglish (US)
Pages (from-to)11201-11213
Number of pages13
JournalJournal of Physics A: Mathematical and General
Issue number50
StatePublished - Dec 21 2001
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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