Spin and Clifford algebras, an introduction
General Relativity and Quantum Cosmology
2010-07-19 v1 Mathematical Physics
math.MP
Abstract
In this short pedagogical presentation, we introduce the spin groups and the spinors from the point of view of group theory. We also present, independently, the construction of the low dimensional Clifford algebras. And we establish the link between the two approaches. Finally, we give some notions of the generalisations to arbitrary spacetimes, by the introduction of the spin and spinor bundles.
Cite
@article{arxiv.1007.2481,
title = {Spin and Clifford algebras, an introduction},
author = {Marc Lachieze-Rey},
journal= {arXiv preprint arXiv:1007.2481},
year = {2010}
}
Comments
40 pages ; published version with slight modifications for on-line reading