The octonion (Cayley) algebra is studied in a split basis by means of a formalism that brings outs its quark structure. The groups SO(8), SO(7), and G2 are represented by octonions as well as by 8 × 8 matrices and the principle of triality is studied in this formalism. Reduction is made through the physically important subgroups SU(3) and of G2, the automorphism group of octonions.
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Research Article| November 03 2003
Quark structure and octonions
Murat Günaydin, Feza Gürsey; Quark structure and octonions. J. Math. Phys. 1 November 1973; 14 (11): 1651–1667. https://doi.org/10.1063/1.1666240
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