Noncrystallographic Coxeter group H4 in E8

Mehmet Koca, Ramazan Koc, Muataz Al-Barwani

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

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
Pages (from-to)11201-11213
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number50
DOIs
Publication statusPublished - Dec 21 2001

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quaternions
Coxeter Group
Quaternion
Weyl Group
Conjugacy class
Irreducible Representation
embedding
generators
Generator
matrices
Character

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Noncrystallographic Coxeter group H4 in E8. / Koca, Mehmet; Koc, Ramazan; Al-Barwani, Muataz.

In: Journal of Physics A: Mathematical and General, Vol. 34, No. 50, 21.12.2001, p. 11201-11213.

Research output: Contribution to journalArticle

Koca, Mehmet ; Koc, Ramazan ; Al-Barwani, Muataz. / Noncrystallographic Coxeter group H4 in E8. In: Journal of Physics A: Mathematical and General. 2001 ; Vol. 34, No. 50. pp. 11201-11213.
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