Octonions

Even though im not halfway finished with STA i just have to dig here too

$Octonions 1$

If you want to remember this easier you can see:

- You can rotate that 120°
- -I sigma is opposite to sigma
- e₇ is in the middle ...

σ₁ = γ₁γ₀
σ₂ = γ₂γ₀
σ₃ = γ₃γ₀

e₁ = -I σ₁
e₂ = -I σ₂
e₃ = σ₁
e₄ = -I σ₃
e₅ = σ₃
e₆ = σ₂
e₇ = -I

Octonions ❡