Semisimple Lie Theory seminar

Michael Baker, Department of Pure Mathematics, University of Waterloo

“Clifford algebras and spin representations II”

After briefly reviewing some of the objects introduced last time, I will prove that the twisted adjoint representation exhibits Spin(V,q) and Pin(V,q) as double covers of SO(V,q) and O(V,q) respectively. We will then discuss some extra structures on Clifford algebras, and their classification (time permitting).