A simple method for the construction of the E8 root system with icosians is suggested. It is confronted with the root system of E8 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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics