Skip to main content
1 of 4
zipuni
  • 177
  • 3

Cayley-Dickson form of a Quaternion

It is known that using the Cayley-Dickson construction a quaternion $q$ can be written in a symplectic form as $q=x+\mathbf{i}y$ with $x,y \in \mathbb{C}$.

I read in a couple of engineering references that $x$ is called the simplex-part whereas $y$ is called the perplex-part of the quaternion. Is this widely accepted and if not what is the proper onomatology in the math community?

On the same topic is there a standard name for the two Quaternion parts comprising an Octonion?

zipuni
  • 177
  • 3