Notes on spinors in low dimension
The purpose of these old notes (written in 1998 during a research project on
holonomy of pseudo-Riemannian manifolds of type (10,1)) is to determine the
orbit structure of the groups Spin(p,q) acting on their spinor spaces for the
values (p,q) = (8,0), (9,0), (9,1), (10,0), (10,1), and (10,2). I'm making them
available on the arXiv because I continue to get requests for them as well as
questions about how they can be cited.