Yes, some people are using it as the basis of the SM. But I'm having trouble getting started with my studies of quaternions, octonions, and clifford algebra. My linear algebra and group theory is weak. Do you know of any easy introductions to quaternions, octonions, and clifford algebra?
So when they use the quaternions and octonions in the SM, do they use the algebra to establish commutation relation between fields? How is the Clifford algebra used in GR? Is it used on connection fields perhaps? Does it establish commutation relations, or perhaps the Bianchi identity, what? Thanks.