E8 lattice with icosians and Z5 symmetry

Mehmet Koca

doi:10.1088/0305-4470/22/19/007

E8 lattice with icosians and Z5 symmetry

Mehmet Koca

Physics

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

A simple method for the construction of the E, root system with icosians is suggested. It is confronted with the root system of E, obtained by integral octonions. Embeddings of the maximal subgroups SU(5) × SU(5) and SU(3) × E₆ in E₈ with respective five-fold and three-fold symmetries are discussed.

Original language	English
Pages (from-to)	4125-4134
Number of pages	10
Journal	Journal of Physics A: Mathematical and General
Volume	22
Issue number	19
DOIs	https://doi.org/10.1088/0305-4470/22/19/007
Publication status	Published - Oct 7 1989

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ASJC Scopus subject areas

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

Cite this

Koca, M. (1989). E8 lattice with icosians and Z5 symmetry. Journal of Physics A: Mathematical and General, 22(19), 4125-4134. https://doi.org/10.1088/0305-4470/22/19/007

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Access to Document

10.1088/0305-4470/22/19/007