Why do we focus on the pin groups $\text{Pin} (1, 3)$ and $\text{Pin} (3, 1)$ as the double cover of $\text{O} (3, 1)$?
Posted by Ishan Deo, at physics.stackexchange.com,
Given a symmetry group in a quantum theory, it is well-known that we must work with its projective representations. For $\text{SO…