This Week’s Finds – Lecture 9

 

In this talk I explained the quaternions and octonions, and showed how to multiply them using the dot product and cross product of vectors.

For more details, including a proof that octonion multiplication obeys |ab|=|a||b|, go here:

• Octonions and the Standard Model (Part 2).

This was one of a series of lectures based on my column This Week’s Finds.