Andrius Kulikauskas investigates:
What do spinors say about Bott periodicity?
I am trying to understand what are spinors. Partly, that will help me understand the physics that John Harland talks about with me, especially as regards the Dirac equation and relativity. But also, spinors manifest Bott periodicity, and I am interested to what insight they may provide.
Spinors are elements of the vector spaces that are given by representations of spin groups. Currently, I am studying the Wikipedia article on Spin representation and the recipe it gives for building them. I am trying to understand them in the simplest case, the group {$\textrm{Spin}(3)\cong SU(2)$} which is the double cover of the special orthogonal group {$SO(3)$} of the rotations of the sphere.
Here are my notes at Math4Wisdom: Spinors