Clifford Algebras in Physics

@article{Traubenberg2005CliffordAI,
  title={Clifford Algebras in Physics},
  author={Michel Rausch de Traubenberg},
  journal={Advances in Applied Clifford Algebras},
  year={2005},
  volume={19},
  pages={869-908}
}
Abstract.We study briefly some properties of real Clifford algebras and identify them as matrix algebras. We then show that the representation space on which Clifford algebras act are spinors and we study in details matrix representations. The precise structure of these matrices gives rise to the type of spinors one is able to construct in a given space-time dimension: Majorana or Weyl. Properties of spinors are also studied. We finally show how Clifford algebras enable us to construct… 
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