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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics