Spin and Clifford algebras, an introduction

Details Spin and Clifford algebras, an introduction Spin and Clifford algebras, an introduction

2010-07-15

arxiv.org/abs/1007.2481v1

7th International Conference on Clifford Algebras and their Applications, Toulouse (France) : France (2005)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

40 pages ; published version with slight modifications for on-line reading

Scientific paper

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.

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