Currently, the 4 parts of an quaternian can be specified by
and the 8 parts of an octonian can be specified by
I find this discommoding, because all of the complex parts of a quaternion are specified by 1 letter (i j k), and only 1 extra part of an octonion is specified by 1 letter (l), and the other 3 are specified by 2 letters (ij jk kl).
I would prefer that ALL of the 4 extra parts of an octonion be specifed by 2 letters.
That would much more clearly distinguish the quaternions and and octonions.
Furthermore, the 1-letter and 2-letter codes could be more parallel and meaningful.
The extra 4 octonion codes could all start with 1st letter o, and the second letter could be the same as the corresponding quaternion code.
So, it would look like this