Abstract
The octonion (Cayley) algebra is studied in a split basis by means of a formalism that brings out 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 SU(2)⊗ SU(2) of G2, the automorphism group of octonions.
Original language | English (US) |
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Pages (from-to) | 1651-1667 |
Number of pages | 17 |
Journal | Journal of Mathematical Physics |
Volume | 14 |
Issue number | 11 |
DOIs | |
State | Published - 1973 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics