Notes on spinors in low dimension
Group Theory
2020-11-12 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2011.05568,
title = {Notes on spinors in low dimension},
author = {Robert L. Bryant},
journal= {arXiv preprint arXiv:2011.05568},
year = {2020}
}
Comments
10 pages, no figures. arXiv admin note: text overlap with arXiv:math/0004073